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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercise 29 to 37, angle measures should be given to the nearest degree; distances should be given to the nearest tenth of a unit.

In searching for survivors of a boating accident, a helicopter moves horizontally across the ocean at an altitude of 200 ft above the water. If a man clinging to a life raft is seen through an angle of depression of 12 , what is the distance from the helicopter to the man in the water?.

To determine

To find:

To find distance from the helicopter to the man in the water by using the following condition,

“In searching for survivors of a boating accident, a helicopter moves horizontally across the ocean at an altitude of 200 ft. above the water. If a man clinging to a life raft is seen through an angle of depression of 12

Explanation

A man clinging to a life raft is seen through an angle of depression of 12.

Let x be the distance from the helicopter to the man in the water.

To find the distance from the helicopter to the man in the water.

Consider the following figure,

General formula for cosine ratio and sin ratio is given below,

cosθ=adjacenthypotenuseθ=cos1(adjacenthypotenuse) and sinθ=oppositehypotenuseθ=sin1(oppositehypotenuse)

From the given figure the value x is the hypotenuse value since it is opposite to right angle

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Chapter 11 Solutions

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