Answer:
The answer to your question is TV = 7.8
Step-by-step explanation:
Data
hypotenuse = ?
Opposite side = 4
angle = 31°
To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.
       sin [tex]\alpha = \frac{Opposite site}{hypotenuse}[/tex]
Solve for hypotenuse
      hypotenuse = [tex]\frac{Opposite side}{sin \alpha}[/tex]
Simplification
      hypotenuse = [tex]\frac{4}{sin 31}[/tex]
      hypotenuse = [tex]\frac{4}{0.52}[/tex]
Result
      hypotenuse = 7.76
