find $m\\angle u$.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$m\\angle…

find $m\\angle u$.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$m\\angle u = \\square^\\circ$\nsubmit

find $m\\angle u$.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$m\\angle u = \\square^\\circ$\nsubmit

Answer

Explanation:

Step1: Identify sides for ∠U

In right △WVU, right-angled at V: Opposite side to ∠U: $WV = 7$ Adjacent side to ∠U: $VU = 6$

Step2: Use tangent ratio

$\tan(\angle U) = \frac{\text{opposite}}{\text{adjacent}} = \frac{7}{6}$

Step3: Calculate ∠U

$\angle U = \arctan\left(\frac{7}{6}\right)$ Using a calculator: $\arctan\left(\frac{7}{6}\right) \approx 49.4^\circ$

Answer:

$49.4$