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Determine the length of a ladder placed along a wall at a window 24 cm high if the foot of the ladder is 7m away from the wall. I am getting 25 m as answer. Is it correct?
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Determine the length of a ladder placed along a wall at a window 24 cm...
Given Data:
- Height of the window (h) = 24 cm
- Distance of the foot of the ladder from the wall (d) = 7 m
Calculating the length of the ladder:
The ladder, the wall, and the ground form a right-angled triangle.
Using the Pythagorean theorem:
The length of the ladder (l) can be calculated using the formula:
l² = h² + d²
Substitute the given values:
l² = (24 cm)² + (7 m)²
l² = 576 cm² + 49 m²
Converting all units to meters:
1 cm = 0.01 m
l² = 5.76 m² + 49 m²
l² = 54.76 m²
Taking the square root of both sides:
l = √54.76
l ≈ 7.41 m
Therefore, the length of the ladder placed along the wall at a window 24 cm high, with the foot of the ladder 7 m away from the wall, is approximately 7.41 meters.
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Determine the length of a ladder placed along a wall at a window 24 cm high if the foot of the ladder is 7m away from the wall. I am getting 25 m as answer. Is it correct?
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