Question

PLZ I NEED HELP!!A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?

A. 24
B. 21
C. 27
D. 32

Answer 1

D. 32 feet

Explanation:

A tree is 12 feet tall and casts a 9-foot shadow.

The shadow is 3/4 the length of the tree (9/12 = 3/4).

We know the shadow of a nearby building is 24 feet long.

That would be 3/4 of the height of the building.

So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.

24/1 * 4/3

Cross-cancellation

8/1 * 4/1

8 * 4

The building is 32 feet tall, which is D.