Geometry

Question Analysis

The main focus is using trigonometric functions in right - triangle  (where ) to find the length of side . Given the hypotenuse  and , we need to determine the adjacent side to .

Key Concept Explanation

In a right - triangle, the cosine of an angle  is defined as . Here, , the hypotenuse is , and the adjacent side to  is .

Step - by - Step Solution

1. Identify the relevant trigonometric function:

Since we know the hypotenuse and want to find the adjacent side to the given angle, we use the cosine function. The formula is .

2. Substitute the known values:

Given  and

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