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 ft wide and a corridor that is b = 5 ft wide meet at an angle of 120°?

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-ft ceiling and that you may tilt the pole at any angle?