Solve the problem.A pole of length L is carried horizontally around a corner where a 5-ft-wide hallway meets a 6-ft-wide hallway. For 0 < ? < 
, find the relationship between L and ? at the moment when the pole simultaneously touches both walls and the corner P. Estimate ? when L = 18 ft. Round the result to three decimal places. 
A. L = 5 cot ? + 6 tan ?;
? ? 0.300, 1.215
B. L = sec ? + 11 csc ?;
? ? 0.721, 1.425
C. L = 6 sec ? + 5 csc ?;
? ? 0.458, 1.060
D. L = 5 sec ? + 6 csc ?;
? ? 0.511, 1.113
Answer: D
Mathematics
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