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# A ladder that is 10 meters long is leaning against a wall. The base

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Math Expert
Joined: 02 Sep 2009
Posts: 54370
A ladder that is 10 meters long is leaning against a wall. The base  [#permalink]

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01 Aug 2017, 13:39
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Difficulty:

25% (medium)

Question Stats:

95% (00:36) correct 5% (00:17) wrong based on 25 sessions

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A ladder that is 10 meters long is leaning against a wall. The base of the ladder is on the floor 6 meters from the wall. What is the distance, in meters, from the bottom of the wall
to the point where the ladder touches the wall?

(A) 6
(B) 8
(C) 9
(D) 10
(E) 2√34

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Joined: 11 Feb 2017
Posts: 188
Re: A ladder that is 10 meters long is leaning against a wall. The base  [#permalink]

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01 Aug 2017, 14:05
Bunuel wrote:
A ladder that is 10 meters long is leaning against a wall. The base of the ladder is on the floor 6 meters from the wall. What is the distance, in meters, from the bottom of the wall
to the point where the ladder touches the wall?

(A) 6
(B) 8
(C) 9
(D) 10
(E) 2√34

100^2 = 6^2 + x^2
(The ladder will make a right angle triangle against the wall)

x=8
Manager
Joined: 03 May 2017
Posts: 91
Re: A ladder that is 10 meters long is leaning against a wall. The base  [#permalink]

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01 Aug 2017, 16:05
Bunuel wrote:
A ladder that is 10 meters long is leaning against a wall. The base of the ladder is on the floor 6 meters from the wall. What is the distance, in meters, from the bottom of the wall
to the point where the ladder touches the wall?

(A) 6
(B) 8
(C) 9
(D) 10
(E) 2√34

6:8:10, rht.. opposite =8, B.
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Joined: 13 Mar 2017
Posts: 718
Location: India
Concentration: General Management, Entrepreneurship
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Re: A ladder that is 10 meters long is leaning against a wall. The base  [#permalink]

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01 Aug 2017, 22:17
Bunuel wrote:
A ladder that is 10 meters long is leaning against a wall. The base of the ladder is on the floor 6 meters from the wall. What is the distance, in meters, from the bottom of the wall
to the point where the ladder touches the wall?

(A) 6
(B) 8
(C) 9
(D) 10
(E) 2√34

The ladder, the base of the floor and the wall makes a right angle triangle. say ABC

Now AB = 10 ,
BC = 6
CA = ?

We should remember the Pythagorean triplet to solve it faster.
So, 3,4,5 is a Pythagorean triplet and their multiples is also a Pythagorean Triplet
i.e. 6,8,10.

So, CA = 8

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Re: A ladder that is 10 meters long is leaning against a wall. The base   [#permalink] 01 Aug 2017, 22:17
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# A ladder that is 10 meters long is leaning against a wall. The base

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