Question

Nadia is standing 60 feet from a tower the angle of elevation from where she is standing on the ground to the top of the tower is 30° how tall is the tower around the final answer to the nearest 10th in feet

Answer 1

Considering N as Nadia's position, T as the top of the tower and O its base, we have a right triangle NOT, where NO = 60 ft and the angle associated to the vertex N is 30°.

Therefore, the height of the tower, TO, is given by:

`\begin{gathered} \tan30\degree=(TO)/(NO) \\ TO=\tan30\degree\cdot NO \\ TO\approx0.577\cdot60 \\ TO\approx34.6\text{ ft} \end{gathered}`