A contractor needs to grade the slope of a subdivision lot to place a house on level ground. (See the figure below.) 26.0° ft 8.5° <-105 ft + The present slope of the lot is 8.5°. The contractor needs a level lot that is 105 ft deep. To control erosion, the back of the lot must be cut to a slope of 26.0°. How far from the street (in ft), measured along the present slope (along the dashed line), will the excavation extend? (Round your answer to three significant digits.)

A contractor needs to grade the slope of a subdivision lot to place a house on level ground. (See the figure below.) 26.0° ft 8.5° <-105 ft + The present slope of the lot is 8.5°. The contractor needs a level lot that is 105 ft deep. To control erosion, the back of the lot must be cut to a slope of 26.0°. How far from the street (in ft), measured along the present slope (along the dashed line), will the excavation extend? (Round your answer to three significant digits.)

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Related questions

Q: Question 8 The team installing the conveyor belts has a measuring tape in imperial units. Determine…

A: To convert the given length in feet.

Q: 3. Interpret the location, direction, and distance (near or far) of the following zscores: a. -2.00…

A: z= -2.00Location : Below the mean μDirection : -ve (Negative)Distance : Far from z= 0 or μ=0…

Q: Mr. Jansen is building an ice rink in his backyard that will meas ure 8.4 meters by 22 meters. What…

A: 3) Given data: The length of an ice rink is a=8.4 m. The width of an ice rink is b=22 m. The…

Q: A building code requires that curb ramps meet certain standards. The slope of the ramp may not rise…

A: Let θ be the angle of elevatuon from ground as shown in below figure. According to angles we know…

Q: A sketch of a staircase is shown. 109 cm 91 cm What is the vertical distance from the floor to the…

A: First find the length of AB using Pythagoras theorem AC2 = AB2 + BC2

Q: 21. In APOR, PQ = 50, OR = 30, and PR =60. To the nearest tenth, what is %3D mZR?

Q: In acute triangle ABC, side b= 12, side c = 10 and mLA = 42. Find side a. %3D

A: We will use cosine law to answer this

Q: Use the circle below Find mED. for questions 8-10. mED = %3D 9 Find mEA. mEA = 52 10, Find MBDC.…

A: Given:- ∠COD = 90°and ∠COA = 90°and ∠COB = 52°We know that ∠COA = ∠COB + ∠BOA…

Q: The radius of a circle is 5 cm. What is the length of the diameter?

A: We will solve the following.

Q: 3. Find the value of angle to the nearest degree. Show your work for full marks. [2 Knowledge Marks]…

A: First, we need to identify the type of triangle we are dealing with. In this case, we have a…

Q: Which situation would require finding the surface area? Billy needs to calculate how much paint is…

A: Consider the given: Bill needs to calculate how much paint is needed to cover the front side of his…

Q: 4. An equilateral triangle has side lengths of 10 cm. The length of the altitude is ---- A. 5 cm 5…

Q: SO bisects LRST , and M2RSQ = 23°.What is the measure of LRST ? The diagram is not to scale. А. 23°…

Q: Triangle ABC is isosceles with AB = AC. D is a point on AC such that BD bisects angle ABC. Given…

Q: Find the measurement of the sides of parallelogram BCDE. Sx- 1

A: A parallelogram is a type of polygon having four sides (also called quadrilateral), where the pair…

Q: From a plane flying due east at 265 m above sea level, the angles of depression of two ships sailing…

A: Geometry Question

Question

A contractor needs to grade the slope of a subdivision lot to place a house on level ground. (See the figure below.)
26.0°
ft
8.5°
<-105 ft
Re
The present slope of the lot is 8.5°. The contractor needs a level lot that is 105 ft deep. To control erosion, the back of the lot
must be cut to a slope of 26.0°. How far from the street (in ft), measured along the present slope (along the dashed line), will
the excavation extend? (Round your answer to three significant digits.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Step -1

Step 2: Step-2

Step 3: Step-3

Solution

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Answer clearly
Choose the correct calculation to be made for the scenario below. Figure out how much wrapping paper is needed to wrap a birthday gift. Lateral Surface Area O Volume O Surface Area O Perimeter O Area
Please answer the question in the picture below. Show all work. Thank you
Dropshipping 101 Course ... hiram walmart jobs Maintenance Custodian As... Workday YouTube Circle Q is shown below. R W Y Which term BEST describes RS ? O. A. chord O B. diameter C. secant D. tangent
Illustration 16.73. There are 12 coins in a bag. Four of them are a rupee each. Remaining coins consist of two types of coins, four of each type. The ratio of the value of the two types of coins is 1 : 5. If the ex- pectation of a draw of one coin is 53- P. Find the values of the coins.
APQR, side p = 244, side q = 233, and r = 177. What is m/Q to the nearest degree? A. 64.8 B. 64.9 C. 65.0 D. 65.1
EVALUATION: Answer as directed. Q 2. 1. 810 540 36° 900 F 380 T. 610 A. Arrange in increasing order the measures of the angles in the triangles. Triangle Smallest Angle Medium Angle Largest Angle A QTU A LFY 1 2 B. Arrange in decreasing order of the lengths of the sides of the triangles. Triangle Longest Side Longer Side Shortest Side A QTU 2A LFY 1
Approximation: A: Lets say you stand 30ft from the base of a flag pole. Lets also say that the angle of elevation from the ground to the top of thee pole is 42 degrees. Use trig to calc the height of the pole. B: If the angle measurement has a possible error of 0.5 degree, there will also be a possible error in the height. Calculate the maximum error in the height using differntials.
INSTRUCTIONS: Please write clearly and understandable way. Write all the corresponding Given with their corresponding symbols and units. Draw/Illustrate the diagram/circuit or drawings that is related to the problem, IF POSSIBLE, which is HIGHLY REQUIRED. Solve in step-by-step, no shortcut. Underline twice the Final Answer. PROBLEM: A kite, 120 ft above the ground, is moving horizontally at a rate of 10 ft/sec. At what rate is the inclination of the string horizontal diminishing when 240 ft of the string are paid out? a. 1/12 rad/sec b. 1/24 rad/sec c. 1/36 rad/sec d. 1/48 rad/sec
%3D 8. The lines shown are tangent to the circle. Given HB = 5, DF = 10 and FC = 3, find BC. E G B BC =
What percentage grade should a road have if the angle of elevation of the road is 6 degrees? (The percentage grade is defined as the change in the altitude of the road over a 100-foot horizontal distance. For example a 5% grade means that the road rises 5 feet for every 100 feet of horizontal distance.) the road should have an (answer) % grade
Find the measure of Ax. x=° 249 619