 #1
MacLaddy
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 11
Homework Statement
A pole of length L is carried horizontally around a corner where a 3ft wide hallway meets a 4ft wide hallway. For [itex]0 < \theta < \frac{\pi}{2}[/itex], find the relationship between L and [itex]\theta[/itex] at the moment when the pole simultaneously touches both walls and the corner P. Estimate [itex]\theta[/itex] when L = 10 ft.
Please see picture for representation
Homework Equations
Pythagorean Theorem
The Attempt at a Solution
I don't know. Take a look at the picture of the workup I did on my white board. I just can't seem to make a connection here. I feel like I am going to need to make 3 of some variable equal 4 of some variable, but I could be completely off.
I don't believe I have enough information to apply the Law of Sines/Cosines.
Any help would be appreciated.
Mac
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