A lamppost casts a shadow of a man who is standing 15 feet away from the lamppost. The shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50. To the nearest foot, the lamppost is _____ feet tall.

Question

A lamppost casts a shadow of a man who is standing 15 feet away from the lamppost. The shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50. To the nearest foot, the lamppost is _____ feet tall.
(Points : 2)

Steve · Answer

As always, draw a diagram. Now, recalling your trig functions, it is easy to see that h/(15+5) = tan 50° now, just solve for h

Anonymous · Answer

55 feet

Jensen · Answer

24 feet, because if you solve for h like Steve said, that's your result