Geometry

Question Analysis  

The main focus is using trigonometric relationships in a right triangle, specifically the Pythagorean identity, to find  given .  

 

Key Concept Explanation  

Pythagorean Identity: In any right triangle, .  

Complementary Angles: While the problem mentions complementary angles, the solution here relies on the Pythagorean identity rather than co-function identities.  

 

Step-by-Step Solution  

1. Apply the Pythagorean identity:  

2. Substitute :  

3. Solve for :  

4. Take the square root:  

Since  is an acute angle,

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