Geometry

Question Analysis

The main focus of this question is to find the sine of in a right - triangle. It requires understanding the definition of sine and correctly identifying the opposite side and the hypotenuse relative to .

 

Key Concept Explanation

In a right - triangle, the sine of an acute angle is defined as . The opposite side is the side directly opposite the angle , and the hypotenuse is the longest side of the right - triangle.

 

Step - by - Step Solution

1. Find the length of the hypotenuse :

Using the Pythagorean theorem , where () and (). Then .

2. Identify the sides relative to :

The side opposite to is , and the hypotenuse is .

3. Calculate

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