Geometry

Question Analysis

The main focus of this problem is to use the given sine ratio and inverse trigonometric functions to find the measure of angle  in a right - triangle. We need to apply the inverse sine function to the provided ratio to calculate the angle.

Key Concept Explanation

In a right - triangle, for an acute angle , . The inverse sine function, , is used to find the angle when the sine ratio of the sides is known. That is, if , then .

Step - by - Step Solution

1. We are given that .

2. First, simplify the ratio