Answer:
9.8 ft
Explanation:
Picture attached.
The side marked h is the side opposite the 55 degree angle. The side marked 12 is the hypotenuse of the right triangle. The trigonometric ratio that involves the opposite and hypotenuse is the sine.
![sin(55^\circ) =(h)/(12)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bsp81db3ez16r92v0rd9ox2phyc2el1hco.png)
Multiply both sides of the equation by 12 to get
![h=12sin(55^\circ)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/64dxnmkrfxay3vit69kuc7uvu2eqlq8hdy.png)
Use a calculator (in degree mode!).