Geometry

Question Analysis

The main focus is using the appropriate trigonometric function in a right - triangle to set up an equation for the unknown side . Given an angle of , with being the side opposite to this angle and being the hypotenuse, we need to identify the correct trigonometric relationship.

Key Concept Explanation

In a right - triangle, the sine of an angle is defined as , the cosine as , and the tangent as .

Step - by - Step Solution

1. Identify the sides relative to the given angle:

The angle is , the opposite side is , and the hypotenuse is .

2. Select the correct trigonometric function:

According to the definition

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