Question

A person 5 feet 3 inches tall casts a 6-foot shadow. At the same time of day, a lamppost cast an 18-foot shadow. what is the height lamppost?

A. 15.75 ft.
B. 15.9 ft.
C. 31.5 ft.
D. 1.5 ft.

Answer 1

I am 100% percent sure it is a

Answer 2

Height of the lamppost is:

A. 15.75 ft.

Explanation:

By AAA congruence the two triangles i.e. one showing man and his shadow and the other showing lamp post and its shadow are congruent.

Hence,
`(5.25)/(6)=(x)/(18)`

Hence,
`x=(5.25)/(6)* 18`

x=5.25×3

x=15.75 ft

Hence, height of the lamppost is:

A. 15.75 ft.