Answer 185.6 meters from the base of the tower Explanation Given information: Fire Fighting: A fire is sighted from a fire tower in Wayne National Forest in Ohio. The ranger found that the angle of depression to the fire is 22 ∘ . Calculation: The angle be measure is opposite the tower and we imagine it was built perpendicular to the ground, so TOA in SOHCAHTOA ... tan 22 ∘ = 75 x x = 75 tan 22 ∘ x ≈ 185.6 Thus, 185.6 meters from the base of the tower

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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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.

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Question

Chapter 5.7, Problem 41E

To determine

How far is the fire from the base of the tower, if the tower is 75 meters tall?

Expert Solution & Answer

Answer to Problem 41E

185.6 meters from the base of the tower

Explanation of Solution

Given information: Fire Fighting: A fire is sighted from a fire tower in Wayne National Forest in Ohio. The ranger found that the angle of depression to the fire is 22∘ .

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.7, Problem 41E

Calculation:

The angle be measure is opposite the tower and we imagine it was built perpendicular to the ground, so

TOA in SOHCAHTOA...

tan22∘=75xx=75tan22∘x≈185.6

Thus,

185.6 meters from the base of the tower

Chapter 5.7, Problem 40E

Chapter 5.7, Problem 42E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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