a 5.5m ladder is leaning against a house when its base starts to slide away. By the...

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a5.5m ladder is leaning against a house when its base starts toslide away. By the time the base is
4.44.4
mfrom the​ house, the base ismoving away at the rate of
9.99.9
​m/s.
a. Whatis the rate of change of the height of the top of the​ladder?
b. Atwhat rate is the area of the triangle formed by the​ladder,wall, and ground changing​ then?
thetaθ
x(t)y(t)05.5 m ladderxy
c. Atwhat rate is the angle between the ladder and the groundchanging​ then?

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