science/math/physics
posted by Caroline .
A shopper pushes a cart 41 m south down one aisle and then turns 90.0° west and moves 28 m. He then makes another 90.0° turn and moves 14 m.
(a) What is the largest possible displacement of the shopper?
____m ___° counterclockwise from west

start the shopper at (0,0)
After pushing the cart 41 m south, he's now at (0, 41)
After turning west and pushing the cart 28 m, he's now at (28, 41)
Now he has to turn 90 degrees again. . . he will then be going either north or south. . . south will result in the largest displacement from the origin. . . now he's at (28, 55)
The distance from the origin is (28^2 + 55^2)^0.5
Let the angle counterclockwise from west be x: then
tan x = 55/28