Geometry

Question Analysis

This question focuses on applying trigonometric functions, specifically the sine 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 sine of ∠O.

 

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

 

Option Analysis

A.: This is correct. It follows the sine ratio formula where the opposite side to  (equivalent to  in

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