#29 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?

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16

1 answer

The building is 32 feet tall.

Since the tree is growing halfway between the stake and the building, and is 16 feet tall, then the distance from the stake to the tree is also 16 feet. This means that the distance from the tree to the building is also 16 feet.

Therefore, the total height of the building is 16 feet (distance from the tree to the building) + 16 feet (height of the tree) = 32 feet.

So, the building is 32 feet tall.