Rates of Change Trig - How Fast an Angle Changes?

Juesty

New member
A ladder 10 m long rests against a vertical wall wall. If the bottom of the ladder slides away from the wall at a speed of 2 m/s, how fast is the angle between the top of the ladder and the wall changing when the angle is 45 degrees?

The book tells me the answer is 2/ squareroot 5.

This is what I have so far:
x=10sin(a)
y=10cos(a)

And I need to somehow use that information with 2x(dx/dt) + 2y(dy/dt) = 0

Please use this method!!
 
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