Use trig ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Use inverse tangent to find a missing acute angle from the opposite and adjacent sides of a right triangle
Problem
Use \(\text{inverse}~\text{tangent}\) to find the missing acute angle: opposite \(7\), adjacent \(7\)
Big Picture
What this problem is really about
The two leg lengths define tangent, and inverse tangent converts that ratio into the missing acute angle. We’ll place opposite over adjacent, simplify, apply the inverse function in degrees, and use the equal-leg geometry as an independent angle-sum check.
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