Geometry

Question Analysis

This question is centered on applying trigonometric functions, specifically the tangent function, within the context of similar right - angled triangles. The key is to utilize the side - length ratios of the given right - triangle to determine the tangent of ∠X.

 

Key Concept Explanation:

In a right - triangle, for an acute angle , .

 

Step-by-Step Solution

In right - triangle with , if is corresponding to (due to similarity):

The side opposite is , and the side adjacent to is .

Using the formula , we get

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