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

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

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

Answer

Explanation:

Step1: Confirm similar triangles

$\triangle VUT \sim \triangle VTX$ (corresponding angles equal)

Step2: Identify tan ratio for $\angle V$

For right $\triangle WXT$, $\tan(V)=\frac{\text{opposite}}{\text{adjacent}}=\frac{XT}{WX}$

Step3: Substitute given values

$\tan(V)=\frac{65}{72}$

Answer:

$\frac{65}{72}$