find ( mangle u ). \nwrite your answer as an integer or as a decimal rounded to the nearest tenth. \n(…

Answer:

$50.2^\circ$

Explanation:

Step1: Identify opposite/adjacent sides

For $\angle U$, opposite side $=6$, adjacent side $=5$.

Step2: Use tangent function

$\tan(\angle U) = \frac{\text{opposite}}{\text{adjacent}} = \frac{6}{5}$

Step3: Calculate angle with arctangent

$\angle U = \arctan\left(\frac{6}{5}\right)$

Step4: Compute and round value

$\arctan(1.2) \approx 50.2^\circ$