A length of rope is stretched between the top edge of a building and a stake in the ground. The head of the stake is at ground level. The rope also touches a tree that is growing halfway between the stake and the building. If the tree is 16 feet tall, how tall is the building? * 1 point

32

24

16

1 answer

24 feet.

The tree is halfway between the stake and the building, so the distance from the stake to the tree is the same as the distance from the tree to the building. Therefore, the building must also be 16 feet tall. When you add the height of the tree to the height of the building, you get 16 + 16 = 32 feet.