Geometry

Question Analysis

This question focuses on applying trigonometric functions in a right - triangle. The main task is to determine the correct trigonometric ratio to find the length of the hypotenuse given an angle and the length of the side opposite the angle.

 

Key Concept Explanation

In a right - triangle:

 

Step - by - Step Solution

We have a right - triangle with an angle of , the side opposite the angle has length , and the hypotenuse is .

Using the sine function, since , substituting , , and , we get .

 

Option Analysis

A.Sin: Incorrect. This does not follow the correct sine ratio

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