Question

A building casts a shadow that is 432 metres long .At the same time a person who is 2 metres long casts a shadow 6 metres long .How high is the building

Answer 1

Answer:

height of building is 144 m.

Step-by-step explanation:

Given :

Height of person = 2 m

Length of shadow of person = 6 m

Length of shadow of building = 432 m

To find :

Height of building

Solution :

Let the height of building be x m.

2/6 = x/432

=> 1/3 = x/432

=> x = 432/3

=> x = 144 m

Therefore, height of building is 144 m.

Answer 2

Given :

Height of person = 2 m

Length of shadow casted by the person = 6 m

Length of shadow casted by the building = 432m

To find :

The height of the building

Solution :

Let the height of building be x

$\implies \dfrac{2}{6} = \dfrac{x}{432}$

$\implies \dfrac{1}{3} = \dfrac{x}{432}$

By cross multiplying :

$\implies 3x = 432$

$\implies x = \dfrac{432}{3}$

$\implies x = 144 \: m$

Answer :

The height of building is 144 m.