   Chapter 11.3, Problem 39E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

In Exercises 39 to 45, angle measures should be given to the nearest degree; distance should be given to the nearest tenth of a unit.When her airplane is descending to land, the pilot notes an angle of depression of 5 ∘ . If the altimeter shows an altitude reading of 120 ft, what is the distance x from the plane to touchdown? To determine

To calculate:

The distance x from the plane to touchdown.

Explanation

Given:

When an airplane is descending to land, the pilot notes an angle of depression of 5. The altimeter shows an altitude reading of 120 ft.

Definition used:

The trigonometric ratio

 sinα=oppositehypotenuse

Calculation:

Consider the angle of depression as α.

Thus α=5.

From the figure, we see that sinα=120x.

sin5=120x

x=120sin5

Let us use Ti-83 calculator to find the value of x

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