asked 147k views
3 votes
A length of rope is stretch between the top edge of the building at stake in the ground the head of the state is at ground level the rope also touches a tree that is growing halfway between the state and the building if the tree is 38 feet tall how tall is the building

asked
User Kmatheny
by
7.0k points

2 Answers

1 vote

Answer:

76 feet

Explanation:

based on the looooooong txt, the building n tree form two similar right-angled triangles w the rope as the hypothesis.

tree is halfway between stake and bldg so stake-to-bldg = 2 x stake-to-tree

as the triangles are similar, their sides are in the same ratio

bldg height = 2 x tree height

= 2 x 38

= 76 feet tall


answered
User Piccolbo
by
7.8k points
3 votes

Because the tree is the halfway point, the building would be twice as tall:

The building is 38 x 2 = 76 feet tall.

answered
User Shawndreck
by
7.8k points
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