A ladder leans against a vertical wall. The top of the ladder is 8m above the gr

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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)

Options:

A . 10m

B . 15m

C . 20m

D . 17m

Answer: Option D
:
D

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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