Question

a communication tower is supported by a 175 foot wire tied to the top and staked into the ground. if the angle of elevation formed by the wire in the ground to the top of the tower is 67 degrees, approximately how tall, to the nearest foot, is the tower. the tower is _______ feet tall

Answer 1

$\begin{gathered} \sin (67)=\frac{\text{opposite side}}{hypotenuse} \\ \\ \sin (67)=\frac{x}{175} \\ x=175\sin (67) \\ x=175\cdot(0.92050) \\ \\ x\approx161.0883\text{ feet tall} \end{gathered}$

the tower is 161 feet tall