Trigo word problem

Question

A meteorologist of a weather bureau sights a cloud base. To measure its height, he positions the projector at a distance of 368m from the detector. The angle of elevation of the cloud base from the projector is 48.2 degrees. Assume that the detector is directly below the cloud base. what is the height h of the cloud base?

Answer 1

I feel reasonably certain that you should draw a right triangle, mimicking the given facts. (Assume flat Earth.)

Ordinary use of the tangent ratio should bring you the right answer, easily.

Answer 2

Taking height of cloud h

D= 368m

 

tan 48.2 = h/368

 

h= 368x tan 48.2 

=411.42 m