Question

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

Explanation:

Step1: Find the length of \( WU \)

Use the Pythagorean theorem \( a^{2}+b^{2}=c^{2} \). Here \( c = 73 \), \( a=55 \), and \( b = WU \).

$$
LATEXBLOCK0
$$

Step2: Calculate \( \tan(U) \)

The formula for tangent in a right - triangle is \( \tan(\theta)=\frac{\text{opposite}}{\text{adjacent}} \). For \( \angle U \), the opposite side to \( \angle U \) is \( VW = 55 \) and the adjacent side is \( WU = 48 \).

$$ \tan(U)=\frac{VW}{WU}=\frac{55}{48} $$

Answer:

\(\frac{55}{48}\)