Geometry

Question Analysis

The main focus of this question is to determine the appropriate trigonometric ratio among csc, sec, and cot to find the unknown side  in a right - triangle. It requires understanding the definitions of these trigonometric functions and correctly identifying the sides relative to the given angle.

 

Key Concept Explanation

Cosecant (csc):

Secant (sec):

Cotangent (cot):

 

Step - by - Step Solution

1. Identify the sides relative to the  angle:

The side with length 24 is the opposite side to the  angle, and  is the adjacent side.

2. Analyze each option:

For , , and this ratio does not match the correct setup, so it is incorrect.

For , since , with adjacent side  and opposite side 24, this option is correct.

For

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