Question

a building casts a shadow 48 feet long. at the same time, a 40-foot-tall flagpole casts a shadow 9.6 feet long . what is the height of the building

Answer 1

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

Reduce the fraction on the left by dividing by 8  (remember 8 goes into 96 so it will go into 9.6 too)

$\frac{5}{1.2} = \frac{48}{n}$  Now cross multiply.

5n = 57.6   finally divide both sides by 5

n= 11.52 ft - answer