   Chapter 11.2, Problem 33E 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 29 to 37, angle measures should be given to the nearest degree; distances should be given to the nearest tenth of a unit.Find the length of each apothem in a regular pentagon whose radii measure 10 in. each.

To determine

To find:

To find the length of each apothem in a regular pentagon whose radii measure 10 in. each.

Explanation

Consider the following figure,

The radii of a regular pentagon is 10 in.

The central angle of the regular pentagon measures 3605 or 72

An apothem bisects its angle so, the angle formed by the apothem 36

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

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