Question

It's after sunset, but Fatima notices that she still has a shadow. She's standing in front of a streetlight that is 12 feet tall. Remember, Fatima is 5 feet tall. If Fatima is standing 9 feet in front of the streetlight, how long is her shadow?

Answer 1

`d_2=6.43m`

Explanation:

From the question we are told that:

Height of streetlight h_s=12

Height of Fatima H_f=5

Distance of streetlight from fatima d_1=9

Generally the equation for Synonymous is mathematically given by

`(x')/(y')=(x)/(y)`

Since

Triangle between Fatima's height and the streetlight is synonymous with Fatima's height and her shadow

Therefore

`(h')/(d_1)=(h)/(d_2)`

`(12-5)/(9)=(5)/(d_2)`

`d_2=6.43m`

Therefore

Her shadow is

`d_2=6.43m`