Question

A building casts a shadow 48 ft long. At the same time, a 40 ft tall flagpole casts a shadow 9.6 ft long. What is the height of the building?

Answer 1

It is given in the question that

A building casts a shadow 48 ft long. At the same time, a 40 ft tall flagpole casts a shadow 9.6 ft long.

Let the height of the building is h ft .

Now we take ratios and solve for h. That is

$\frac{h}{48} = \frac{40}{9.6}$

Performing cross multiplication,

$9.6h = 40*48$

Dividing both sides by 9.6

$h = \frac{40*48}{9.6} = 200ft$

Therefore the height of the building is 200 ft .