A 10 ft ladder leans against a wall at an angle θ with the horizontal, as shown in the accompanying figure

feet-degree

#1

A 10 ft ladder leans against a wall at an angle θ with the horizontal, as shown in the accompanying figure. The top of the ladder is x feet above the ground. If the bottom of
the ladder is pushed toward the wall, find the rate at which x changes with respect to θ when θ = 60◦ . Express the answer in units of feet/degree.

Answer:

image