Question

A building casts a shadow 46 feet long. At the same time, a 36 foot tall flagpole costs a shadow of 9.2 feet long. what is the height of the building

Answer 1

Given :

A building casts a shadow 46 feet long.

At the same time, a 36 foot tall flagpole costs a shadow of 9.2 feet long.

To Find :

The height of the building.

Solution :

Since, all readings are taken in same time.

Ratio of height and shadow remains for all objects.

Let, height of building is H.

So,

$\dfrac{H}{46}=\dfrac{36}{9.2}\\\\H = \dfrac{36}{9.2}\times 46\\\\H = 180\ feet$

Therefore, height of the building is 180 feet.