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anjali

· started a discussion

· 1 Months ago

not clear (Question: 188325.0 )

plz explain...

Question:
A ladder leans against a vertical wall. Top of the ladder is 8 m above the ground. When the bottom of the ladder is moved 2 m further away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder ?
Options:
A) 10 m
B) 15 m
C) 17 m
D) 20 m
Solution:
Let distance between bottom of ladder and wall = x m


ATQ,

(x + 2)2 = 82 + x2

x2 + 4x + 4 = x2 + 64

4x = 60

x = 15

So, length of ladder = 15 + 2 = 17 m

Knowledge Expert

· commented

· 1 Months ago

@somil kumar Not at all, 15 m is the only correct answer.

somil kumar

· commented

· 1 Months ago

ans is 10m

Knowledge Expert

· commented

· 1 Months ago

Let distance between bottom of ladder and wall = x m

ATQ,
(x + 2)^2 = 8^2 + x^2
x^2 + 4x + 4 = x^2 + 64
4x = 60
x = 15
So, length of ladder = 15 + 2 = 17 m
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