Question

The length of a shadow of the building is 36m. The length of the pole, which is perpendicular to the land, is 1.9m. The length of pole's shadow is 1.52m. What is the height of the building?

Answer 1

The height of the building is 45 meters.

Explanation:

Length of the shadow of building = 36 m

The length of the pole, which is perpendicular to the land, is = 1.9 m

The length of pole's shadow is = 1.52 m.

Let the height of the building be = x

We can relate these two things as :

`(x)/(36) =(1.9)/(1.52)`

=>
`1.52x=1.9*36`

`1.52x=68.4`

=> x = 45

Hence, the height of the building is 45 meters.

Answer 2

The height of the building = 45 m

Explanation:

∵ The length of a shadow of the building = 36 m

∵ The length of a shadow of the pole = 1.52 m

∵ The height of the pole = 1.9 m

∴ height building/height pole = shadow building/shadow pole

∴ h/1.9 = 36/1.52

∴ h = (1.9 × 36) ÷ 1.52 = 45 m