Calculus I Single variable

Question

A pole of length L is carried horizontally around a corner where a 2-ft-wide hallway meets a 9-ft-wide hallway, as shown in the

π figure on the right. For 0<0<2, find the relationship between L and 0 at the moment when the pole simultaneously touches both walls and the corner P. Estimate 0 when L = 15 ft.

Pole, length L

91

P

2 ft

Tachary me Giap between Land when the port simunaneously touches po walls and the corner P. Choose the correct answer below.

A. L(0) = 2 sin 0 + 9 cos 0

B. L(0) = 2 csc 0+9 sec 0

C. L(0) = 2 cos 0 + 9 sin 0

D. L(0) = 2 sec 0 + 9 csc 0

When L = 15 ft, 0 =

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

Answer 1