Question

Instructions: Find the measure of the indicated angle to the
nearest degree

Answer 1

The required indicated angle is: 36°

Explanation:

Given triangle is a right-angled triangle so we can use trigonometric ratios to find the indicated angle.

In the given triangle,

Hypotenuse = 32

Base = 26

As we know only base and hypotenuse, we will use a trigonometric ratio which involves base an hypotenuse.

Let x be the angle

then

`cos\ x = (base)/(hypotenuse)\\cos\ x = (26)/(32)\\cos\ x = 0.8125\\x = cos^(-1)\ (0.8125)\\x = 35.65`

Rounding off to nearest degree, the angle is: 36°

Hence,

The required indicated angle is: 36°