Question

From the top of a 15m lookout tower Elli spots a bushfire at an angle of depression on 31°. How far is the fire from the base of the tower, correct to 1 decimal place.

Answer 1

Explanation:

Answer 2

25.0 m

Explanation:

Let the distance from the fire to the base be x.

`\tan 31^(\circ)=(15)/(x) \\ \\ (x)/(15)=(1)/(\tan 31^(\circ)) \\ \\ x=(15)/(\tan 31^(\circ)) \\ \\ x \approx 25.0`