   Chapter 11.3, Problem 43E 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.Upon approaching a house, Mary hears Lynn shout to her. Mary, who is standing 10 ft from the house, looks up to see Lynn in the third-story window approximately 32 ft away. What is the measure of the angle of elevation as Mary looks up at Lynn?

To determine

To calculate:

The measure of angle of elevation as Mary looks up at Lynn.

Explanation

Given:

Upon approaching a house, Mary hears Lynn shout to her. Mary, who is standing 10 ft from the house, looks upto see Lynn in the third-story window approximately 32 ft away.

Definition used:

The trigonometric ratio

Calculation:

The pictorial representation of the problem is shown below.

Let α be the angle of elevation.

From the figure,

cosα=1032

α=cos1(1032)

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

Press ON in Ti-83 calculator.

Since we need to find the value of degree, we need to change the mode to degrees

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