   Chapter 11.CR, Problem 4CR 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 Review Exercises 1 to 4, state the ratio needed, and use it to find the measure of the indicated line segment to the nearest tenth of a unit. To determine

To find:

The measure of the indicated line segment to the nearest tenth of a unit.

Explanation

Procedure used:

In any right triangle ABC with mA=θ we have the following ratios.

sinθ=OppositeHypotenuse

Calculation:

Given:

The above figure is a pentagon with radius r=5 ft.

Let us name the given figure of pentagon as ABCDE.

Now,

OC=r=5 ft, and

CD= ft.

Consider the radius of the pentagon OD, adjacent to the radius OC.

Calculate the angle subtended between the radii.

Now, the angle between the radii OC and OD is given by

=360°5

=72°

Thus,

mCOD=72°

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