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
