Geometry

Question Analysis

The main focus of this problem is to apply the cosine function in a right - triangle to find the value of the hypotenuse . Given an angle of  and the length of the adjacent side as , we aim to determine the length of the hypotenuse.

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. Given the equation .

Cross - multiply to get .

Then, solve for