Respuesta :

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°