1. A man is standing on top of a 28-foot tall sand pile, and he sees two turtles on the ground below. The turtles are on opposite sides of the sand pile. If the angles of depression from the top of the sand pile to each of the turtles are 25' and 18' respectively, how far apart are the turtles? ( a) Draw a sketch of the situation. b) Use trig functions to solve for the unknown measurements in the sketch. Write out your equations and show all steps of your solutions. Then use the calculator to find the solutions correct to the nearest hundredth of a foot. c) Use the information solved for in part (b) to determine the answer to the question. (Hint: you need to do one additional calculation). d) Answer the question in a sentence.

1. A man is standing on top of a 28-foot tall sand pile, and he sees two turtles on the ground below. The turtles are on opposite sides of the sand pile. If the angles of depression from the top of the sand pile to each of the turtles are 25' and 18' respectively, how far apart are the turtles? ( a) Draw a sketch of the situation. b) Use trig functions to solve for the unknown measurements in the sketch. Write out your equations and show all steps of your solutions. Then use the calculator to find the solutions correct to the nearest hundredth of a foot. c) Use the information solved for in part (b) to determine the answer to the question. (Hint: you need to do one additional calculation). d) Answer the question in a sentence.

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°.

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

Trigonometry Application Problems
Instructions: You are encouraged to work together on these problems. Perform the following tasks and
present your work neatly and clearly. I want you to turn in your completed results, presented in a clear
professional manner. Answer all questions in complete sentences when a written answer is required.
1. A man is standing on top of a 28-foot tall sand pile, and he sees two turtles on the ground below.
The turtles are on opposite sides of the sand pile. If the angles of depression from the top of the
sand pile to each of the turtles are 25 and 18' respectively, how far apart are the turtles? (
a) Draw a sketch of the situation.
b) Use trig functions to solve for the unknown measurements in the sketch. Write out your
equations and show all steps of your solutions. Then use the calculator to find the solutions
correct to the nearest hundredth of a foot.
c) Use the information solved for in part (b) to determine the answer to the question. (Hint:
you need to do one additional calculation).
d) Answer the question in a sentence.
Available
2. A man standing on the roof of a building 60.0 feet high looks down to the building next door. He
finds the angle of depression to the roof of that building is 34.5', while the angle of depression to
the bottom of that building is 63.2. How tall is the building next door? ('
a) Draw a sketch of the situation.
b) Use trig functions to solve for the unknown measurements in the sketch. Write out your
equations and show all steps of your solutions. Then use the calculator to find the solutions
correct to the nearest hundredth of a foot.
c) Use the information solved for in part (b) to determine the answer to the question. (Hint: you
need to do one additional calculation).
d) Answer the question in a sentence.

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