Question

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

Answer 1

Required indicated angle is: 47°

Explanation:

Given triangle is a right angled triangle

The side opposite to reference angle is perpendicular so,

Hypotenuse = 48

Perpendicular = 35

The trigonometric ratio of sine will be used as it involves hypotenuse and perpendicular.

Let y be the required angle

`sin\ y = (perpendicular)/(hypotenuse)\\sin\ y = (35)/(48)\\sin\ y = 0.72916\\y = sin^(-1)\ (0.72916)\\y = 46.81..`

Rounding off to nearest degree,

y = 47°

Hence,

Required indicated angle is: 47°