Geometry

Question Analysis

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

Key Concept Explanation

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

Step - by - Step Solution

1. Set up the equation using the tangent function:

Since , and , , we have

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