   Chapter 11.3, Problem 23E 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 21 to 26, use the sine, cosine, or tangent ratio to find the indicated angle measures to the nearest degree. To determine

To find:

The indicated angle measures to the nearest degree using the sine, cosine or tangent ratio.

Explanation

Given:

The triangle with indicated angles is shown below.

Definition used:

The trigonometric ratios:

Calculation:

Consider the angle θ.

We have sinθ=oppositehypotenuse

From the figure,

sinθ=56

θ=sin1(56)

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

Press ON in Ti-83 calculator.

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

Press MODE button and use arrow keys to select the “Degree” mode.

Now press the following buttons in the same sequence.

2ndSIN5÷6

Then press ENTER

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