   Chapter 11.3, Problem 20E 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 15 to 20, use the sine, cosine, or tangent ratio to find the lengths of the indicated sides to the nearest tenth of a unit. To determine

To find:

The lengths of the indicated sides to the nearest tenth of a unit using the sine, cosine or tangent ratio.

Explanation

Given:

The rectangle ABCD is shown below.

Definition used:

The trigonometric ratios:

Calculation:

Since ABCD is a rectangle, BC=AD.

Consider the right triangle BAD.

Let α=30.

We need to find the value of w, l.

We have sinα=oppositehypotenuse

sin30=w12

cos30=l12

Let us use Ti-83 calculator to find the value of sin30,cos30.

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.

Let us find the values, correct to four decimal places.

Since we need the values of sin30,cos30 correct to four decimal places, in MODE, using arrow keys choose the value of “Float” as 4

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