Achild who is 1 m tall child is facing a building 74.5 m away the child can see the reflection of the top of the building in a rain puddle that is 0.5 m in front of them what is the approximate height of the building in meters

We have 2 right angled triangles  here , with one of the acute angles equal, because the angle of incidence of the reflection in the pool equals the angle of reflection.

The triangles are similar so we can say 

1 / h = 0.5 / 74    ( the 74 comes from 74.5 - 0.5)

h =  74 / 0.5 = 148m 

height of the building is about 148 m.