A pole of length L is carried horizontally around a corner where a 3-ft-wide hallway meets a 4-ft-wide hallwau. For 0<θ<π/2, find a relationship between Land θ at the moment when the pole simultaneously touches both walls and the corner P. Estimate θ when L=10 ft.Diagram: it shows a corner shaped like the top half of an E, where the horizontal hallway is 4 ft wide and the vertical hallway is 3 ft wide. The corner is betweenthem, and the angle θ is right about that corner, in the 4 ft hallway.