Geometry

Question Analysis

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

 

Key Concept Explanation

In a right - triangle, the three main trigonometric functions are defined as follows:

Sine () of an angle :

Cosine () of an angle :

Tangent () of an angle :

 

Step - by - Step Solution

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

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

 

Option Analysis

A.Cos: Incorrect. Because

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