Question

To determine the cloud height at night, many small airports have a spotlight that shines on the clouds. Last night, the angle that the beam made with the ground was 700 . An observer was standing 300 metres away from the spotlight on the other side of the cloud. The observer determined the angle of elevation to the cloud at that point was 600 . Find the cloud height to the nearest metre. Include a diagram in your solution.

Answer 1

observer distance from the spotlight on the other side of the cloud= DC = 300 m

We have to determine cloud height AB.