A ladder 20 ft long rests against a vertical wall. Let theta be the angle between the top of the ladder and the wall and let x be the distance from…

A ladder 20 ft long rests against a vertical wall. Let theta be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to theta when theta = pi/3