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

200m

Step-by-step 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=(50)/(x) \\ \implies x*\tan 14\degree=50 \\ x=(50)/(\tan 14\degree) \\ x=200.54m \end{gathered}`

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