Question

2. Solve the problem.The angle of elevation from a point on the ground to the top of a tower is 18°. The base of the tower is 100 feet from the point on the ground. Find the height of the tower. Round to the nearest tenth ofa foot.

Answer 1

Given that

-The angle of elevation from a point on the ground to the top of a tower is 18°

-The distance between the base of the tower and the point on the ground is 100 feet.

We are asked to find the height of the tower.

Step-by-step explanation

To solve the question, we will represent the given parameters on a diagram.

We can then find the height of the tower using the trigonometric function below.

`\begin{gathered} \text{Tan}\theta=\frac{opposite\text{ side}}{adjacent\text{ side}} \\ \text{Tan}18^0=(H)/(100) \\ H=100\text{Tan}18^0 \\ H=32.5 \end{gathered}`

Answer: 32.5 feet