Question

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

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle T\), the side opposite to \(\angle T\) is \(VU = 4\) and the side adjacent to \(\angle T\) is \(TU=3\).

Step2: Calculate \(\tan(T)\)

Using the formula \(\tan(T)=\frac{VU}{TU}\), substituting \(VU = 4\) and \(TU = 3\), we get \(\tan(T)=\frac{4}{3}\).

Answer:

\(\frac{4}{3}\)