Geometry

Question Analysis

This question focuses on using inverse trigonometric functions to find the measure of angle in a right - triangle. We need to determine the correct trigonometric ratio based on the side lengths relative to angle and then use the inverse function to calculate the angle.

Key Concept Explanation

In a right - triangle, for an acute angle :

, , .

Inverse trigonometric functions , , are used to find the angle when the ratio of the sides is known. For example, if , then ; if , then ; if

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