   Chapter 11.3, Problem 19E 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 triangle inscribed in the circle with the indicated sides is shown below.

Definition used:

The trigonometric ratios:

Calculation:

Let α=36.

From the figure we see that the radius of the circle is 5.

Therefore the diameter is 25=10.

We know that the angle inscribed in a semicircle is a right angle.

Hence the hypotenuse of the triangle is the diameter of the circle, whose value is 10.

We need to find the value of d.

cos36=d10

Let us use Ti-83 calculator to find the value of cos36.

Press ON in Ti-83 calculator.

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

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