Answer:
The length of the ladder = 17 meters(17m)
Explanation:
The formula to find the Length of the ladder is given as:
L² = x² + y²
Where L = Length of the Ladder
Let x = 8m
We solve for y
From the above question, we are told that:
The top of a ladder slides down a vertical wall at a rate of 0.32 m/s.
Hence: (-0.32)y = -0.32y
At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. Hence:
8(0.6) - 0.32y = 0
4.8 = 0.32y
y = 4.8/0.32
y = 15m
Hence:
L² = x² + y²
L² = 8² + 15²
L² = 64 + 225
L² = 289
Square root both sides
L = √289
L = 17m
The length of the ladder = 17 meters(17m)