Answer:
The answer to your question is TV = 7.8
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
![\alpha = (Opposite site)/(hypotenuse)](https://img.qammunity.org/2021/formulas/mathematics/high-school/6rin7ia5xhfvasm5dpk33s4avpqv9lje6c.png)
Solve for hypotenuse
hypotenuse =
![(Opposite side)/(sin \alpha)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ktahey1nsvm9w8tiilwm9wyi4tty0kxn6w.png)
Simplification
hypotenuse =
![(4)/(sin 31)](https://img.qammunity.org/2021/formulas/mathematics/high-school/dmk6a6tjutjijln9x86amrc7dpodfpasle.png)
hypotenuse =
![(4)/(0.52)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4zwy2q3bg07m9nhhqegpwcry1giczhxv1l.png)
Result
hypotenuse = 7.76