Question!
A ladder leans against a vertical wall.The top of the ladder is 8m above the
ground. When the bottom of the ladderis 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?
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Answers
Answered by
162
Given :
- Perpendicular (P) = 8m
- Base (B) = 2m
To Find :
- Find Hypotenuse (H) / Length of ladder ?
Solution :
- Length of Ladder = BC
- Height of Wall = BA
- Distance btw. Wall & Ladder = CA
Applying Pythagoras Theorem :
➣ (Hypotenuse)² = (P)² + (B)²
➣ (BC)² = (BA)² + (CA)²
➣ (BC)² = (8)² + (2)²
➣ (BC)² = 64 + 2
➣ (BC)² = 68
➣ BC = √68
➣ BC = 8.24m [approx]
Hence,
- Length of the Ladder is 8.24m.
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