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 building is 36 feet tall, how tall is the tree?
A rope stretched between a building and a stake in the ground, with a tree growing halfway between the building and the stake and touching the rope.
The building is at the left of the image.
A point labeled 'stake' is at the right of the image on the same horizontal line as the bottom of the building.
A tree is drawn in between the building and the stake.
A line segment is drawn connecting the stake to the bottom of the tree and the bottom of the building. A single tick mark is drawn on the part of the segment between the bottom of the tree and the bottom of the building. An equal single tick mark is drawn on the part of the segment between the bottom of the tree and the stake.
A line segment is drawn connecting the stake to the top of the tree and the top of the building. Double tick marks are drawn on the part of the segment between the top of the tree and the top of the building. Equal double tick marks are drawn on the part of the segment between the top of the tree and the stake.
(1 point)
Responses
36 ft.
36 ft.
18 ft.
18 ft.
9 ft.
9 ft.
27 ft.
1 answer
1 answer