A surveyor is trying to measure the distance betwcen two points on opposite sides of a lake.In order to do so, she picks a tree on the edge of the lake to use as her marking point on the far side, thenshe places a marker 12 feet away from the edge of the lake on her side. Finally, she sets up her surveyingequipment 64 feet away from her marker, making sure that the imaginary line between her equipment andher marker makes a 90 degree angle to the line between her marker and the tree on the other side of thelake.TREEIS°12 FEETraRker64 FEETa. The surveyor measures the azimuth angle from north to the tree on the other side as 15 degrees.What is the triangle's interior angle in that comer? What is the angle at the tree?b. Using cosine, find the distance of the hypotenuse.c. Using sine, find the distance between the surveyor's marker and the tree on the opposite side ofthe lake. Taking into account that the marker was set up 12 feet away from the edge of the lake, how far isthe distance between the edges of the lake between the tree and the marker?

Given Data: The distance between the edge of the lake (LE2) and the marker is: a=12 ft The distance…

A surveyor is trying to measure the distance between two points on opposile In order to do so, she picks a tree on the edge of the lake to use as her marking point on the far side, then she places a marker 12 feet away from the edge of the lake on her side. Finally, she sets up her surveying cquipment 64 feet away from her marker, making sure that the imaginary line between her equipment and her marker makes a 90 degree angle to the line between her marker and the tree on the other side of the * TREE lake. 12 FEET trARKeR 64 FEET a The surveyor measures the azimuth angle from north to the troe on the other side as 15 degrees. What is the triangle's interior angle in that cormer? What is the angle at the tree? b. Using cosine, find the distance of the hypotenuse. c. Using sine, find the distance between the surveyor's marker and the tree on the opposite side of the lake. Taking into account that the marker was set up 12 feet away from the edge of the lake, how far is the distance between the edges of the lake between the tree and the marker?

A surveyor is trying to measure the distance between two points on opposile In order to do so, she picks a tree on the edge of the lake to use as her marking point on the far side, then she places a marker 12 feet away from the edge of the lake on her side. Finally, she sets up her surveying cquipment 64 feet away from her marker, making sure that the imaginary line between her equipment and her marker makes a 90 degree angle to the line between her marker and the tree on the other side of the * TREE lake. 12 FEET trARKeR 64 FEET a The surveyor measures the azimuth angle from north to the troe on the other side as 15 degrees. What is the triangle's interior angle in that cormer? What is the angle at the tree? b. Using cosine, find the distance of the hypotenuse. c. Using sine, find the distance between the surveyor's marker and the tree on the opposite side of the lake. Taking into account that the marker was set up 12 feet away from the edge of the lake, how far is the distance between the edges of the lake between the tree and the marker?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: an airplane is flying from New Orleans to Atlanta. As the airplane is about to finish its course,…

Q: A blimp is suspended in the air at a height of 500 feet. It is directly over a line connecting…

A: A blimp is suspended in the air at a height of 500 feet. It is directly over a line connecting…

Q: A pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

Q: A communications tower is located at the top of a steep hill. The angle of inclination of the hill…

Q: A plane flies 800 miles from Franklin to Centerville with a bearing of 75°. Then it flies 629 miles…

Q: Jeremy has a new laser sight for golf that gives him the straight line distance to any object he…

A: To solve the following problem given angle of depression.

Q: ). The “lead-in groove” is 6 inches from the center of an LP, while the “exit groove” is 1 inch from…

A: Solution

Q: A mason wants to be sure she has a right corner in a building’s foundation. She marks a point 3 ft…

A: Given, A mason wants to be sure she has a right corner in a building’s foundation. She…

Q: A plane takes off from a runway and travels 50,000ft at a constant angle of incline. The planes…

A: According to the question, the figure will be: To find: Value of x.

Q: 2. From an angle of depression of 40°, John watches his friend approach his building while standing…

Q: Ron and Francine are building a ramp for performing skateboard stunts, as shown in the accompanying…

Q: Andy is standing directly across a river that runs parallel to the base of a cliff. from his spot,…

Q: A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees.…

A: Given data is : Angle θ=30∘ Bridge clearance is 16.5 feet. To find the horizontal distance from the…

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

Q: An observer standing on the southern bank of a river sees a tree that is much more than 100 feet…

Q: Anne and Bob are standing at the edge of a river. To use indirect measurement to determine how wide…

Q: The Blue Angels, the Navy's elite flying squadron, have performed for more than 427 million fans…

A: Elevation of plane P = 1570 ft,Elevation of plane A = 1000 ft,Angle of Elevation of plane P =…

Q: A fisherman is 7 miles west and 3 miles north of the marina. To head directly back to the marina,…

A: using pythagorous theoremAM2=AB2+BM2

Q: A Navy battleship is targeting an incoming fighter jet with an elevation of 10,000 feet. The…

Q: Q2. A man sitting at a height of 40 m on a tall tree on a small island in the middle of a river…

Q: Two radar stations 8 miles apart are tracking an airplane. The straight-line distance between…

Q: A lifeguard is sitting on a platform. His eye level is 5 m above sea level. Martha and Sammy are…

A: Given query is to find the distance between Martha and Sammy.

Q: Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures…

Question

A surveyor is trying to measure the distance betwcen two points on opposite sides of a lake.
In order to do so, she picks a tree on the edge of the lake to use as her marking point on the far side, then
she places a marker 12 feet away from the edge of the lake on her side. Finally, she sets up her surveying
equipment 64 feet away from her marker, making sure that the imaginary line between her equipment and
her marker makes a 90 degree angle to the line between her marker and the tree on the other side of the
lake.
TREE
IS°
12 FEET
raRker
64 FEET
a. The surveyor measures the azimuth angle from north to the tree on the other side as 15 degrees.
What is the triangle's interior angle in that comer? What is the angle at the tree?
b. Using cosine, find the distance of the hypotenuse.
c. Using sine, find the distance between the surveyor's marker and the tree on the opposite side of
the lake. Taking into account that the marker was set up 12 feet away from the edge of the lake, how far is
the distance between the edges of the lake between the tree and the marker?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

2. A surveyor has estimated that a mountain is 2540 ft high. He also measures the angles of depression (from the top of the mountain to two observation stations on the ground) are 40° and 35°, respectively. Assume that the angle between the lines of the top of the mountain to the stations is 84°. Based on the information given above, (a) Sketch a graph, (b) Calculate the distance between the two observation stations.
Audra was drawing a perpendicular bisector of segment AB with a compass. She started with line segment AB. Then, she placed her compass point on A and opened the compass more than halfway to B. Which of the following is Audra's next step? A Take a protractor and measure a right angle from the middle of AB. В Using the width of the compass from the previous step, draw an arc on AB. C Using the width of the compass from the previous step, draw two arcs to the left and right of both A and B. D Using the width of the compass from the previous step, draw large arcs both above and below segment AB.
9. A surveyor is mapping a large marsh in a state park. He walks and measures a straight line south from a cliff for 0.75 mile to a large tree. He walks east, but he has to make a detour around the marsh. He gets around the marsh to a spot where he is perpendicular to the large tree and the trail he originally walked south on. He looks northwest and measures a 40° angle (ZA) northwest to the cliff from his line of sight to the large tree. He measures the distance back to the starting point at the cliff as 1.17 miles. What is the straight-line distance from the large tree east to ZA? What is the tangent of ZB , the angle at the cliff? Clff 0.75 mile 1.17 mile 40 Tree
To determine the angle of elevation of a star in the sky, you align the star and the top of the backboard of a basketball hoop that is 5ft higher than your eyes in your line of vision. Your horizontal distance from the backboard is 12 feet. What is the angle of elevation of the star?
From the top of a 45-m high building, an observer sees a car heading toward the building at an angle of depression of 15°. After some time, the angle of elevation to the car is 30°. What is the distance that the car has travelled? Express your answer to the nearest meter.
The roller coaster is 80 feet above the ground at a horizontal position of 110 feet from the boarding station.The roller coaster is at a height of 100 feet above the ground as it descends the hill and reaches a horizontal position of 170 feet from the boarding station.The roller coaster levels off at a height of 80 feet above the ground at a horizontal position of 200 feet from the boarding station, then resumes dropping.A drawing of a section of the roller coaster with points marked at 110 comma 80, 170 comma 100, and 200 comma 80.Using the height of 80 feet as a baseline (because that is also the height the roller coaster is when it levels off), determine the rule for the polynomial function representing the height of the roller coaster, h open parentheses x close parentheses, at a horizontal position of x feet from that of the boarding station. This rule can be left in factored form. Fill in the blanks to report your result as follows. a should be written as an integer or…
Dean is on a 70 m high bridge and sees two boats anchored at points C and D below. Deanestimates the angle of depression to be 36° for boat C and 40° for boat D. How far apart are theboats?