Question

You are standing 50 meters from a hot air balloon that is preparing to take off. The angle of the elevation to the top of the balloon is 28. Find the height of the balloon

Answer 1

27m

Explanation:

The diagram is shown in the attachment.

The height of the hot air balloon is calculated using the tangent ratio.

The tangent ratio involves the side length that is opposite(h) to the given angle (28) and the side length adjacent to the angle.

`\tan 28\degree=(h)/(50)`

This implies that;

`h=\50tan 28\degree`

`h=26.585m`

The height is 27m to the nearest meters.