Geometry

Question Analysis

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

Key Concept Explanation

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

Step - by - Step Solution

1. Identify the relevant trigonometric function:

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

2. Substitute the known values:

Given and , we have

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