CAT 2001 — QA Question 16
Height & DistanceEasy
A ladder leans against a vertical wall. The top of the ladder is 8 m above the ground. When the bottom of the ladder is moved 2 m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?
Answer & solution
- A
10 m
- B
15 m
- C
20 m
17 m
Solution
Let the foot of the ladder be x metres away from the foot of the wall.
Now, the length of the ladder will be = x + 2
∴ (x + 2)2 = x2 + 8
On solving, we get, x = 15
∴ Length of ladder = 15 + 2 = 17 m
Hence, option (d).