Question

The light from a lamp casts a shadow of a man standing 10 feet away from the lamppost. The shadow is 7 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.

Answer 1

20.26 ft is the height of the lamppost

Answer 2

Lamppost is 20.26 ft. tall.

Explanation:

In the figure attached. AB is the lamp post and DE is a man standing 10 ft away from the lamp post.

Therefore, in ΔABC,

term 50° =
`(AB)/(BC)`

term 50° =
`(AB)/(17)`

1.192 =
`(AB)/(17)`

AB = 17 × 1.192

= 20.26 ft.

Therefore, Lamppost is 20.26 ft. tall.