   Chapter 11.2, Problem 18E 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 Exercise 17 to 22, use either the sine ratio or the cosine ratio to find the length of the indicated sides of the triangle correct to the nearest tenth of a unit. To determine

To find:

The length of the indicated sides of the following triangle,

Explanation

Consider the following figure,

General formula for cosine ratio and sin ratio is given below,

From the given figure the value c is the hypotenuse value since it is opposite to right angle.

Then 5 in. is the length of the leg adjacent to 57 and d is the length of leg opposite to 57.

Therefore,

cos57=5cc=5cos57

Using a scientific calculator in degree mode, follow the following key sequence,

57cos0.5446

Substitute the value of cos57 to get the following,

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