In order to hang a painting on a well, Jim moved a ladder and leaned it against the wall. However, the ladder started to slide away from the wall when he started clim the ladder.

What is known:

• The length of the ladder is 12 ft.
• The ladder horizontal speed at the base is 3 ft/s.
• The distance between the bottom of the ladder and the base of the wall is 8 ft.

Simplified Ladder State

How fast does the angle, θ, between the ladder and the wall change when the bottom of the ladder is 8 ft from the base of the wall?