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

Answer:
Required indicated angle is: 47°
Step-by-step 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
[tex]sin\ y = \frac{perpendicular}{hypotenuse}\\sin\ y = \frac{35}{48}\\sin\ y = 0.72916\\y = sin^{-1}\ (0.72916)\\y = 46.81..[/tex]
Rounding off to nearest degree,
y = 47°
Hence,
Required indicated angle is: 47°