Geometry

Question Analysis

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

 

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 hypotenuse is .

Using the formula , we get