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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

User JHN
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2 Answers

2 votes
Assuming the rope touches the top of the tree, then by similar triangles, the building must be 32 feet tall.

Hope this helps!
User Chris Johnsen
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2 votes

Answer:

Height of building is 76 feet.

Explanation:

In the figure below,

AB is the building , DE is the tree standing in half way between the state and building.

Let angle at C be
\theta

In ΔABC,

tan
\theta =
(\text Perpendicular)/(\text Base)

tan
\theta =
(h)/(2x) ......(1)

In ΔDEC,

tan
\theta =
(\text Perpendicular)/(\text Base)

tan
\theta =
(38)/(x) ......(2)

Comparing (1) and (2) ,


(h)/(2x) =
(38)/(x)


h=2*38


h=76

Thus, Height of building is 76 feet.

A length of rope is stretch between the top edge of the building at stake in the ground-example-1
User Pbering
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