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Calculus for Scientists and Engineers: Early Transcendental

Turning a corner with a pole

a. What is the length of the longest pole that can be carried horizontally around a corner at which a 3 -ft corridor and a 4 -ft corridor meet at right angles?

b. What is the length of the longest pole that can be carried horizontally around a corner at which a corridor that is $a$ feet wide and a corridor that is $b$ feet wide meet at right angles?

c. What is the length of the longest pole that can be carried horizontally around a corner at which a corridor that is $a=5 \mathrm{ft}$ wide and a corridor that is $b=5$ ft wide meet at an angle of $120^{\circ} ?$

d. What is the length of the longest pole that can be carried around a corner at which a corridor that is $a$ feet wide and a corridor that is $b$ feet wide meet at right angles, assuming there is an 8 -foot ceiling and that you may tilt the pole at any angle?