In: Math
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.4 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall? (That is, find the angle's rate of change when the bottom of the ladder is 8 ft from the wall.)
--------(1)
Differentiating with t
(Because )
(putting the value of from equation (1))
(L=10 ft ; x=8 ft ; dx/dt=1.4 ft/s