Question

A lamp post with a height of 12 ft casts a shadow of 6 ft. A fire hydrant near it casts a shadow that is 1.5 ft long. How tall is the fire hydrant?

Answer 1

3ft

Explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

`(h)/(h')=(l)/(l')`

`(12)/(h')=(6)/(1.5)`

`h'=(12* 1.5)/(6)`

`h'=3`ft

Hence, the height of fire hydrant=3 ft