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Quantitative Aptitude

Heights & Distances

A ladder lean...

Question

A ladder leans against a vertical wall. The top of the ladder is 8m above the ground. When the bottom of the ladder is moved 2m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder ?
(CAT 2001)

10m

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15m

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20m

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17m

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Solution

The correct option is D 17m
Option (d)

Length of the ladder = x+2

Thus, $8^{2} + x^{2} = (x + 2)^{2}$

Solving for x, x=15

Length of ladder = 17

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Similar questions

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A ladder leans against a vertical wall. The top of the ladder is 8m above the ground. When the bottom of the ladder is moved 2m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder ? (CAT 2001)

The correct option is D 17mOption (d) Length of the ladder = x+2 Thus, 82+x2=(x+2)2 Solving for x, x=15 Length of ladder = 17

A ladder leans against a vertical wall. The top of the ladder is 8m above the ground. When the bottom of the ladder is moved 2m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder ?
(CAT 2001)

The correct option is D 17m
Option (d)

Length of the ladder = x+2

Thus, $8^{2} + x^{2} = (x + 2)^{2}$

Solving for x, x=15

Length of ladder = 17