The distance between the end of a lamppost's shadow and the top of the lamppost is 22 feet. The angle measure of the shadow is 15°.

How tall is the lamppost, rounded to the nearest tenth of a foot? Type the numeric answer only in the box below.

Numerical Answers Expected!

Question

The distance between the end of a lamppost's shadow and the top of the lamppost is 22 feet. The angle measure of the shadow is 15°. 


How tall is the lamppost, rounded to the nearest tenth of a foot? Type the numeric answer only in the box below.

Numerical Answers Expected!

anonymous · Answer

If you want a visual representative as well.

anonymous · Answer

let the height of the shadow be x 
then by the problem
x/22 = sin22
or x=12 sin22=4.5 ft

anonymous · Answer

A 4.5 foot tall lamp post? Sounds like a waste of a lamp post but thank you!