Geometry

Question Analysis

The main focus of this problem is to use inverse trigonometric functions to find the acute angle . Given that , we must determine the angle within the range << that satisfies this equation.

Key Concept Explanation

The inverse tangent function, denoted as or , returns the angle whose tangent is . That is, if , then . The principal value range of the inverse tangent function is <<. Since is acute, we are interested in the positive part of this range.

Step - by - Step Solution

1. Given

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