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Math Calculus ALEKS 360 ACCESS CARD PRECALCULUS 18 WK

A contractor building eight ocean-front condominiums wants to maximize the view of the ocean for each unit. The side of the building facing the ocean is not built in a straight line parallel to the ocean, but instead is built in a zigzag pattern as shown in the figure. Each condo has a window of length x facing the ocean at an angle of 70 ° from a line perpendicular to the ocean. a. Find the length x of each window. Round to the nearest foot. b. The windows facing the ocean are 8 ft high and x feet wide. By using the zigzag pattern how much more ocean-front viewing area does each window provide than if the windows were parallel to the ocean? Round to the nearest square foot.

A contractor building eight ocean-front condominiums wants to maximize the view of the ocean for each unit. The side of the building facing the ocean is not built in a straight line parallel to the ocean, but instead is built in a zigzag pattern as shown in the figure. Each condo has a window of length x facing the ocean at an angle of 70 ° from a line perpendicular to the ocean. a. Find the length x of each window. Round to the nearest foot. b. The windows facing the ocean are 8 ft high and x feet wide. By using the zigzag pattern how much more ocean-front viewing area does each window provide than if the windows were parallel to the ocean? Round to the nearest square foot.

Solution Summary: The author calculates the length of each window to the nearest foot for a contractor building eight ocean front condominiums.

ALEKS 360 ACCESS CARD PRECALCULUS 18 WK

ALEKS 360 ACCESS CARD PRECALCULUS 18 WK

1st Edition

ISBN: 9781265748456

Author: Miller

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Chapter 6.1, Problem 75PE

A contractor building eight ocean-front condominiums wants to maximize the view of the ocean for each unit. The side of the building facing the ocean is not built in a straight line parallel to the ocean, but instead is built in a zigzag pattern as shown in the figure. Each condo has a window of length x facing the ocean at an angle of 70 ° from a line perpendicular to the ocean.

a. Find the length x of each window. Round to the nearest foot.

b. The windows facing the ocean are 8 ft high and x feet wide. By using the zigzag pattern how much more ocean-front viewing area does each window provide than if the windows were parallel to the ocean? Round to the nearest square foot.

Chapter 6.1, Problem 75PE, A contractor building eight ocean-front condominiums wants to maximize the view of the ocean for

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Chapter 6.1, Problem 74PE

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Chapter 6 Solutions

ALEKS 360 ACCESS CARD PRECALCULUS 18 WK

Ch. 6.1 - Solve the right triangle. Round the lengths of the...Ch. 6.1 - A 40-ft ladder on a fire truck leans against a...Ch. 6.1 - From an eye level of 6ft , an observer standing...Ch. 6.1 - A straight hiking trail is 2500ft long with a gain...Ch. 6.1 - Prob. 5SP Ch. 6.1 - Prob. 6SP Ch. 6.1 - A plane leaves an airport heading S50E at 450mph ....Ch. 6.1 - For Exercise 1-2, refer triangle to ABC . If the...Ch. 6.1 - For Exercise 1-2 refer triangle to ABC . The...Ch. 6.1 - Prob. 3PE

Ch. 6.1 - The acute angle used to express the bearing...Ch. 6.1 - For exercise 5-12 given right triangle ABC ,...Ch. 6.1 - For exercise 5-12 given right triangle ABC ,...Ch. 6.1 - For exercise 5-12 given right triangle ABC ,...Ch. 6.1 - For exercise 5-12 given right triangle ABC ,...Ch. 6.1 - For exercise 5-12 given right triangle ABC ,...Ch. 6.1 - For exercise 5-12 given right triangle ABC ,...Ch. 6.1 - Prob. 11PE Ch. 6.1 - Prob. 12PE Ch. 6.1 - For Exercises 13-18, solve the right triangle for...Ch. 6.1 - For Exercises 13-18, solve the right triangle for...Ch. 6.1 - For Exercises 13-18, solve the right triangle for...Ch. 6.1 - For Exercises 13-18, solve the right triangle for...Ch. 6.1 - For Exercises 13-18, solve the right triangle for...Ch. 6.1 - For Exercises 13-18, solve the right triangle for...Ch. 6.1 - A boat is anchored off Elliot Key, Florida. 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After...Ch. 6.1 - Prob. 56PE Ch. 6.1 - A boat leaves a dock at a bearing of N42W and...Ch. 6.1 - Prob. 58PE Ch. 6.1 - For Exercises 59-60, find the lengths of the sides...Ch. 6.1 - For Exercises 59-60, find the lengths of the sides...Ch. 6.1 - Find the measures of the sides and angles. Round...Ch. 6.1 - A rectangular prism measures 6in. by 4in. by 3in ....Ch. 6.1 - Two children sit on either end of an 18-ft teeter...Ch. 6.1 - A light fixture mounted 24ft above the ground...Ch. 6.1 - For Exercises 65-66, refer to the table giving the...Ch. 6.1 - For Exercises 65-66, refer to the table giving the...Ch. 6.1 - OSHA safety regulations require that the base of a...Ch. 6.1 - An A-frame storage shed is constructed such that...Ch. 6.1 - An airplane needs to fly to an airfield located...Ch. 6.1 - Software used to program video games often uses an...Ch. 6.1 - Two ships leave port at the same time. One travels...Ch. 6.1 - Prob. 72PE Ch. 6.1 - Explain how to represent the bearing from point P...Ch. 6.1 - What is meant by solving a triangle?Ch. 6.1 - A contractor building eight ocean-front...Ch. 6.1 - A circle is inscribed within an isosceles triangle...Ch. 6.1 - A tool requires a V-shaped block to hold two...Ch. 6.1 - Pipe for a water line must be installed from a...Ch. 6.1 - A woman participating in a triathlon can run...Ch. 6.2 - Solve ABC with B=70 , C=48, and b=15cm . Round the...Ch. 6.2 - Solve ABC with A=33 , B=112 , and c=16 . Round the...Ch. 6.2 - Solve ABC with A=49 , a=32 , and b=28 . Round the...Ch. 6.2 - Solve ABC with B=31 , b=3 , a=6.2 . Round the...Ch. 6.2 - Solve ABC with A=40 , a=22 , and b=25 . 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Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - For Exercises 53-66, solve ABC . Round the lengths...Ch. 6.2 - After a hurricane, a homeowner examines trees on...Ch. 6.2 - A company manufactures pennants in the shape of an...Ch. 6.2 - Consider a sector of a circle of radius 6cm with...Ch. 6.2 - Refer to the figure. a. Write expressions for the...Ch. 6.2 - Refer to the figure. a. Write expressions for the...Ch. 6.2 - Given ABC with sides of lengths a,b , and c...Ch. 6.2 - Prob. 73PE Ch. 6.2 - Given SSA (the ambiguous case), outline the four...Ch. 6.2 - List various methods to confirm your answers after...Ch. 6.2 - A triangle ABC has sides a,b , and c across from...Ch. 6.2 - From the figure, show that sin45=23sin95 .Ch. 6.2 - Use the law of sines in the form sinAsinB=ab 1 to...Ch. 6.2 - Use the relationships ac=sinAsinC and bc=sinBsinA...Ch. 6.2 - Given ABC circumscribed by a circle, show that the...Ch. 6.3 - Solve ABC with B=61 , c=19 , and a=28 . Round the...Ch. 6.3 - Solve ABC with a=62 , b=48 , and c=41 . Round the...Ch. 6.3 - Repeat Example 3 with the initial bearing of the...Ch. 6.3 - Find the area of a triangle with sides of length...Ch. 6.3 - In which situation (s) can the law of cosines be...Ch. 6.3 - Given ABC with sides a,b , and c opposite vertices...Ch. 6.3 - Given ABC with sides a,b , and c opposite vertices...Ch. 6.3 - Given a triangle of sides of lengths a,b , and c ,...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - Prob. 17PE Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - Prob. 21PE Ch. 6.3 - For Exercises 5-22, solve ABC subject to the given...Ch. 6.3 - A boat leaves port and follows a course of N77E at...Ch. 6.3 - A fishing boat leaves a marina and follows a...Ch. 6.3 - Two planes leave the same airport. 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The...Ch. 6.3 - A 40-ft boom on a crane is attached to the crane...Ch. 6.3 - Prob. 28PE Ch. 6.3 - A regulation fast-pitch softball diamond for high...Ch. 6.3 - The Flatiron Building in New York City is said to...Ch. 6.3 - The distance between Dallas, Texas, and Atlanta,...Ch. 6.3 - A bicyclist is at point A on a paved road and must...Ch. 6.3 - A 150-ft tower is anchored on a hill by two guy...Ch. 6.3 - A 75-ft tower is located on the side of a hill...Ch. 6.3 - In Exercises 35-38, use Heron's formula to find...Ch. 6.3 - In Exercises 35-38, use Heron's formula to find...Ch. 6.3 - In Exercises 35-38, use Heron's formula to find...Ch. 6.3 - In Exercises 35-38, use Heron's formula to find...Ch. 6.3 - A triangular sail for a Bolger Tortise sailboat...Ch. 6.3 - Find the area of the grassy region from Exercise...Ch. 6.3 - A farmer wants to fertilize a triangular field...Ch. 6.3 - An artist lays down a white triangular background...Ch. 6.3 - For Exercises 43-46, the vertices of a triangle...Ch. 6.3 - For Exercises 43-46, the vertices of a triangle...Ch. 6.3 - For Exercises 43-46, the vertices of a triangle...Ch. 6.3 - For Exercises 43-46, the vertices of a triangle...Ch. 6.3 - Three mutually tangential circles with radii...Ch. 6.3 - Prob. 48PE Ch. 6.3 - A parallelogram has adjacent sides of 12.2cm and...Ch. 6.3 - A regular octagon (8- sided figure with sides of...Ch. 6.3 - Why is the law of sines not an option to solve a...Ch. 6.3 - To solve a triangle given SAS , the law of cosines...Ch. 6.3 - Given the lengths of the three sides of a triangle...Ch. 6.3 - When applying the law of cosines (or law of sines)...Ch. 6.3 - Suppose that ABC is a right triangle with right...Ch. 6.3 - If the measures of the three angles in a triangle...Ch. 6.3 - A piston in an engine is attached to a connector...Ch. 6.3 - Use the law of cosines to show that...Ch. 6.3 - Use the law of cosines to show that a=bcosC+ccosB Ch. 6.3 - Prob. 60PE Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - For Exercises 1-12, solve ABC subject to the given...Ch. 6.3 - Refer to the figure. Find the indicated values to...Ch. 6.3 - Use the right triangles APB and APC to show that...Ch. 6.3 - A hiking trail is roughly in the shape of a circle...Ch. 6.4 - Suppose the block from Example 1 is initially...Ch. 6.4 - Repeat Example 2 with a Ferris wheel 120ft in...Ch. 6.4 - Two spring-mass systems have an initial...Ch. 6.4 - The of an object in simple harmonic motion is the...Ch. 6.4 - For an object in simple harmonic motion, the...Ch. 6.4 - Given an object in damped harmonic motion, the...Ch. 6.4 - The term "ultrasound" refers to sound waves of a...Ch. 6.4 - The frequency of middle C on a piano is. 264Hz ....Ch. 6.4 - If the displacement d of an object moving under...Ch. 6.4 - For Exercises 7-14, suppose that an object moves...Ch. 6.4 - For Exercises 7-14, suppose that an object moves...Ch. 6.4 - For Exercises 7-14, suppose that an object moves...Ch. 6.4 - For Exercises 7-14, suppose that an object moves...Ch. 6.4 - For Exercises 7-14, suppose that an object moves...Ch. 6.4 - For Exercises 7-14, suppose that an object moves...Ch. 6.4 - For Exercises 7-14, suppose that an object moves...Ch. 6.4 - For Exercises 7-14, suppose that an object moves...Ch. 6.4 - For Exercises 15-22, suppose that an object is...Ch. 6.4 - For Exercises 15-22, suppose that an object is...Ch. 6.4 - Prob. 17PE Ch. 6.4 - For Exercises 15-22, suppose that an object is...Ch. 6.4 - For Exercises 15-22, suppose that an object is...Ch. 6.4 - For Exercises 15-22, suppose that an object is...Ch. 6.4 - For Exercises 15-22, suppose that an object is...Ch. 6.4 - For Exercises 15-22, suppose that an object is...Ch. 6.4 - A block hangs on a spring attached to the ceiling...Ch. 6.4 - The bob on a simple pendulum is pulled to the left...Ch. 6.4 - Prob. 25PE Ch. 6.4 - The blood pressure p for a certain individual...Ch. 6.4 - A Ferris wheel at a county Fair is 180ft in...Ch. 6.4 - The 30-ft diameter waterwheel at Deleon Springs...Ch. 6.4 - Refer to the piston and crankshaft from Exercise...Ch. 6.4 - A laboratory centrifuge is a piece of equipment...Ch. 6.4 - An alternating current generator generates current...Ch. 6.4 - An alternating current generator in the United...Ch. 6.4 - Prob. 33PE Ch. 6.4 - Prob. 34PE Ch. 6.4 - The brightness of a "young" star sometimes...Ch. 6.4 - The magnitude of a star named Delta Cuphea varies...Ch. 6.4 - For Exercises 37-38, the ordered pair t,d gives...Ch. 6.4 - For Exercises 37-38, the ordered pair t,d gives...Ch. 6.4 - Write a function y=ft for simple harmonic motion...Ch. 6.4 - Write a function y=ft for simple harmonic motion...Ch. 6.4 - Use a graphing utility to graph the functions of...Ch. 6.4 - Prob. 42PE Ch. 6.4 - Prob. 43PE Ch. 6.4 - For Exercises 43-46, use a graphing utility to...Ch. 6.4 - For Exercises 43-46, use a graphing utility to...Ch. 6.4 - For Exercises 43-46, use a graphing utility to...Ch. 6.4 - Suppose that a guitar string is plucked such that...Ch. 6.4 - A tuning fork is struck, and the tips of the...Ch. 6.4 - Explain the criteria under which you would choose...Ch. 6.4 - Explain the difference between an object moving in...Ch. 6.4 - Prob. 51PE Ch. 6.4 - Prob. 52PE Ch. 6.4 - Prob. 53PE Ch. 6.4 - For Exercises 53-54, use the model d=aectcost or...Ch. 6.4 - In a course in differential equations or physics,...Ch. 6.4 - In a course in differential equations or physics,...Ch. 6.4 - Given the model d2006tcos2t . for an object in...Ch. 6.4 - Given the model d=804tcost for an object in damped...Ch. 6.4 - Given a point on the Earth of latitude a, the...Ch. 6.4 - Given a point on the Earth of latitude a, the...Ch. 6 - For Exercises 1-4, solve the right triangle for...Ch. 6 - Prob. 2RE Ch. 6 - For Exercises 1-4, solve the right triangle for...Ch. 6 - For Exercises 1-4, solve the right triangle for...Ch. 6 - A 20-ft-tall light post casts a 25-ft shadow along...Ch. 6 - A passenger lift runs 680ft up the side of a...Ch. 6 - A 75-ft guy wire is attached to the top of a...Ch. 6 - A 125-ft kite string is anchored to the ground. If...Ch. 6 - Prob. 9RE Ch. 6 - Prob. 10RE Ch. 6 - A plane flies due west for 2hr then due south for...Ch. 6 - A boat travels 3mi east then 7mi south. To the...Ch. 6 - A ship leaves a dock on a bearing of S48.2W ....Ch. 6 - A plane flying 275mph on a bearing of N73.5W...Ch. 6 - For Exercises 15-20, solve ABC subject to the...Ch. 6 - Prob. 16RE Ch. 6 - For Exercises 15-20, solve ABC subject to the...Ch. 6 - Prob. 18RE Ch. 6 - Prob. 19RE Ch. 6 - Prob. 20RE Ch. 6 - For Exercises 21-22, find the area of a triangle...Ch. 6 - Prob. 22RE Ch. 6 - Points on a straight shoreline, A and B , are...Ch. 6 - Two landing points, A and B , lie on the straight...Ch. 6 - A ranger station at a point R in a wilderness area...Ch. 6 - Standing on top of a 30-ft lifeguard tower, an...Ch. 6 - PointsA,B, and P are collinear points along a...Ch. 6 - A surveyor fixes a baseline of 64 ft between two...Ch. 6 - For Exercises 29-32, solve ABC subject to the...Ch. 6 - Prob. 30RE Ch. 6 - For Exercises 29-32, solve ABC subject to the...Ch. 6 - Prob. 32RE Ch. 6 - For Exercises 33-34, find the measures of the...Ch. 6 - Prob. 34RE Ch. 6 - Prob. 35RE Ch. 6 - In Exercises 35-36, find the area of the triangle...Ch. 6 - Two straight jogging paths begin at a kiosk in a...Ch. 6 - Given points A6,2 and B1,4 on the coordinate...Ch. 6 - Prob. 39RE Ch. 6 - Two planes take off from an airport at the same...Ch. 6 - Two sides of a triangular plot of land measure...Ch. 6 - Prob. 42RE Ch. 6 - For Exercises 43-46, suppose that an object moves...Ch. 6 - Prob. 44RE Ch. 6 - For Exercises 43-46, suppose that an object moves...Ch. 6 - Prob. 46RE Ch. 6 - Prob. 47RE Ch. 6 - For Exercises 47-48, a block is attached to a...Ch. 6 - The angular displacement (in radians) for a...Ch. 6 - A Ferris wheel is 200ft in diameter with its...Ch. 6 - For Exercises 51-52, use a graphing utility to...Ch. 6 - For Exercises 51-52, use a graphing utility to...Ch. 6 - For Exercises 1-8, solve ABC subject to the given...Ch. 6 - For Exercises 1-8, solve ABC subject to the given...Ch. 6 - For Exercises 1-8, solve ABC subject to the given...Ch. 6 - For Exercises 1-8, solve ABC subject to the given...Ch. 6 - Prob. 5T Ch. 6 - Prob. 6T Ch. 6 - For Exercises 1-8, solve ABC subject to the given...Ch. 6 - Prob. 8T Ch. 6 - Prob. 9T Ch. 6 - Prob. 10T Ch. 6 - For Exercises 9-12, find the area of ABC with the...Ch. 6 - Prob. 12T Ch. 6 - A ship travels west at 25 knots. At 7:30P.M. , the...Ch. 6 - Over the course of a day, as the angle of...Ch. 6 - To determine the height of a tower, a surveyor...Ch. 6 - In addition to the light-year to quantify large...Ch. 6 - A triangular shade sail has sides of length 123...Ch. 6 - The distance between Los Angeles, California, and...Ch. 6 - The connector rod from the piston to the...Ch. 6 - Prob. 20T Ch. 6 - Prob. 21T Ch. 6 - The displacement of an object attached to a spring...Ch. 6 - Prob. 23T Ch. 6 - A block hangs on a spring attached to the ceiling...Ch. 6 - The angular displacement (in radians) for a...Ch. 6 - Prob. 26T Ch. 6 - Use a graphing utility to graph the function...Ch. 6 - Write the equation of the line in slope-intercept...Ch. 6 - Prob. 2CRE Ch. 6 - Prob. 3CRE Ch. 6 - Write a polynomial fx of degree 5 , with integer...Ch. 6 - Write equations for the asymptotes for the graph...Ch. 6 - Write equations for the asymptotes for the graph...Ch. 6 - Prob. 7CRE Ch. 6 - Prob. 8CRE Ch. 6 - Write an equation for a tangent function with a...Ch. 6 - A motorist drives on a toll road to and from work...Ch. 6 - a. Write a variation model using k as the constant...Ch. 6 - a. Write an equation representing the fact that...Ch. 6 - Prob. 13CRE Ch. 6 - The cost to buy tickets to a concert is $50 per...Ch. 6 - Suppose that the population of a country in the...Ch. 6 - Prob. 16CRE Ch. 6 - Prob. 17CRE Ch. 6 - Find the exact value of cos200cos50+sin200sin50 Ch. 6 - Prob. 19CRE Ch. 6 - For Exercises 19-20, solve ABC subject to the...

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