You want to determine the height of your school building. The building casts a 6-foot shadow at the same time you cast a 15-inch shadow. If you are 5 feet tall, how tall is the school building (in feet)?

Question

You want to determine the height of your school building. The building casts a 6-foot shadow at the same time you cast a 15-inch shadow. If you are 5 feet tall, how tall is the school building (in feet)?

Answer 1

We can use proportions to solve the problem. Let x be the height of the school building in feet.

Then, according to the given information:

(x / 6) = (5 / (15/12))

Here, we convert 15 inches to feet by dividing it by 12. Solving for x, we get:

x = 30 feet

Therefore, the height of the school building is 30 feet.