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Jan Hill
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Homework Statement
A 10' ladderis leaning against a house when its base starts to slide away
By the time the base is 6' fromthe house, the base is moving away at a rate of 16 ft/sec
a)What is the rate of change of the height of the top of the ladder?
b)At what rate is the area of the triangle formed by the ladder, wall and ground changing?
c)At waht rate is the angle between the ladder and the ground changing?
Homework Equations
The Attempt at a Solution
We can figure out the height of the house where the ladder hits it as 8 using the pythagorean theorem
We can let the hypotneuse be s
We need to find dx/dt and we have 4 of the 6 necessary numbers to do that. But to find the unknown, we need 5 of the 6 numbers
We have x, y and s and dx/dt = 16 ft/sec but we need to find dy/dt and for that we need ds/dt but how do we get that?