Question

A range is looking outwards from a 50 foot tower. He looks down(top angle) at a 14 degree angle. How far away is the fire across the ground?(horizontal distance)

Answer 1

Answer:

200m

Explanation:

The diagram illustrating this problem is attached below:

Using trigonometrical ratio, we want to determine the value of x:

$\begin{gathered} \tan 14\degree=\frac{50}{x} \\ \implies x\times\tan 14\degree=50 \\ x=\frac{50}{\tan 14\degree} \\ x=200.54m \end{gathered}$

The fire across the ground is 200m away from the tower.