Question

find ( mangle u ).
triangle image with right angle at v, wv = 6, vu = 4
write your answer as an integer or as a decimal rounded to the nearest tenth.
( mangle u = square^circ )

Explanation:

Step1: Identify opposite/adjacent sides

For $\angle U$, opposite side $WV=6$, adjacent side $VU=4$.

Step2: Use tangent ratio formula

$\tan(\angle U) = \frac{\text{opposite}}{\text{adjacent}} = \frac{6}{4} = 1.5$

Step3: Calculate angle via arctangent

$\angle U = \arctan(1.5)$
Using a calculator, $\arctan(1.5) \approx 56.3^\circ$

Answer:

$56.3^\circ$