find the tangent of $angle u$.\nsimplify your answer and write it as a proper fraction, improper fraction…

find the tangent of $angle u$.\nsimplify your answer and write it as a proper fraction, improper fraction, or whole number.\n$\tan(u) = square$

find the tangent of $angle u$.\nsimplify your answer and write it as a proper fraction, improper fraction, or whole number.\n$\tan(u) = square$

Answer

Explanation:

Step1: Recall tangent definition

For right triangle, $\tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}}$

Step2: Identify sides for $\angle U$

Opposite to $\angle U$: $VW = 48$, Adjacent to $\angle U$: $UW = 20$

Step3: Compute and simplify fraction

$\tan(U) = \frac{48}{20} = \frac{12}{5}$

Answer:

$\frac{12}{5}$