Pole in a corner A pole of length L is carried horizontally around a comer where a 3-ft-wi...

Pole in a corner A pole of length L is carried horizontally around a comer where a 3-ft-wide hallway meets a 4-ft-wide hallway. For 0<θ<π/2, find the relationship between L and θ at the moment when the pole simultaneously touches both walls and the comer P. Estimate θ when L = 10 ft.