In: Math
a
5.5m ladder is leaning against a house when its base starts to
slide away. By the time the base is
4.44.4
m
from the house, the base is
moving away at the rate of
9.99.9
m/s.
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 then?
|
thetaθ
|
c. At
what rate is the angle between the ladder and the ground
changing then?
|