Geometry

Question Analysis

This question focuses on applying trigonometric functions, specifically the cosine function, in the context of similar right - angled triangles. The main task is to use the side - length ratios of the given right - triangle to find the cosine of ∠G.

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. First, note that and are similar.

In right - triangle , , , .

For , since , the side adjacent to is . The hypotenuse is . Corresponding to , corresponds to and corresponds to .

2. Using the formula

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