at a certain time of day, a building casts a 25-foot Shadow. At the same time a six-foot-tall shop Line cast a 15 ft Shadow. How tall is the building in feet?​

Respuesta :

Answer:

10 feet. It doesn't look right, but in fact it is.

Step-by-step explanation:

Set up a proportion. Be sure and put the unknown in the numerator. That way you avoid cross multiplication

Let the building's height be x.

x/25 = 6/15                       Multiply both sides by 25

25 * (x / 25) = 25*(6/15)   Cancel what is common on the right.

x = 5(6/3)                         Divide 6/3

x = 5(2)

x = 10