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

Question

asked Oct 1, 2022 107k views

1 Answer

Markussvensson · Answer 1 · 2022-10-05T08:15:29+0000

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,

$(H)/(46)=(36)/(9.2)\\\\H = (36)/(9.2)* 46\\\\H = 180\ feet$

Therefore, height of the building is 180 feet.