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A flagpole is originally 5 meters tall. A hurricane snaps the flagpole

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Math Expert
Joined: 02 Sep 2009
Posts: 58381
A flagpole is originally 5 meters tall. A hurricane snaps the flagpole  [#permalink]

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28 Mar 2019, 23:45
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Difficulty:

35% (medium)

Question Stats:

79% (01:42) correct 21% (03:47) wrong based on 14 sessions

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A flagpole is originally 5 meters tall. A hurricane snaps the flagpole at a point x meters above the ground so that the upper part, still attached to the stump, touches the ground 1 meter away from the base. What is x?

(A) 2
(B) 2.1
(C) 2.2
(D) 2.3
(E) 2.4

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Intern
Joined: 12 Sep 2018
Posts: 27
A flagpole is originally 5 meters tall. A hurricane snaps the flagpole  [#permalink]

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29 Mar 2019, 01:54
After the hurricane, we get a figure of a right triangle with:
base=1
height=x
hypotenuse= y =$$\sqrt[2]{x^2+1}$$

Knowing that x+y=5, we can solve the equations and find x=2.4

E
A flagpole is originally 5 meters tall. A hurricane snaps the flagpole   [#permalink] 29 Mar 2019, 01:54
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