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raghu velusamy

· started a discussion

· 1 Months ago

can't understand (Question:89577.0)

i diidn't understand wt s mean by farther away from the wall wt does it means

Question:
A ladder leans against a vertical wall. The top of the ladder is 8 meter above the ground. When the bottom of the ladder is moved 2 meter farther 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) 20 meter
B) 16 meter
C) 18 meter
D) 17 meter
E) 15 meter
Solution:

Let the length of the ladder be x meter. We have

82 + y2 = x2 and (y + 2) = x

Hence, 64 + (x - 2)2  = x2

⇒ 64 + x2 — 4x + 4 = x2

⇒ 68 = 4x ⇒ x = 17 meter

Knowledge Expert

· commented

· 1 Months ago

2 meter farther means 2 m away from the wall
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