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Math Help - Rate of Change Word Problem

  1. #1
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    Rate of Change Word Problem

    A construction worker at the top of a building is pulling, with a rope, one end of a five-meter plank up a buildings vertical side. The non-rope end of the plank rests on the ground. Therefore the buildings side, plank, and ground form a right triangle. If the rope end of the plank is being pulled up at a rate of 0.15 m/sec. How fast (rate of change) is the other end of the plank moving toward the base of the building when the end of the non-rope end is 2.5 meters from the building?



    Last problem on my HW sheet and it's really giving me trouble

    Any help would be really great

    Thanks!
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  2. #2
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    This is like the related rates ladder problems.

    x^{2}+y^{2}=25

    \frac{dx}{dt}=\frac{-y}{x}\cdot\frac{dy}{dt}

    Use Pythagoras to find y given x=5/2 and the hypoteneuse of the triangle is 5, then you have all the info to find dx/dt
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