Asked by Matt
A ladder of length 10 metres is being drawn up a wall. The top of the ladder is
moving upwards at 1 metre per second. Find the speed with which the foot of the
ladder is approaching the wall when the foot is 6 metres from the wall.
moving upwards at 1 metre per second. Find the speed with which the foot of the
ladder is approaching the wall when the foot is 6 metres from the wall.
Answers
Answered by
Steve
If x is the distance of the foot, and h is the height,
x^2 + h^2 = 10^2
so, h=8 when x=6
2x dx/dt + 2h dh/dt = 0
2(6) dx/dt + 2(8)(1) = 0
dx/dt = -4/3
x^2 + h^2 = 10^2
so, h=8 when x=6
2x dx/dt + 2h dh/dt = 0
2(6) dx/dt + 2(8)(1) = 0
dx/dt = -4/3
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