Question

A common flea can jump a distance of 33 cm. Suppose a flea makes five jumps of this length in the northwest direction. If the flea's northward displacement is 88 cm, what is the fleas westward displacement

Answer 1

well, 33 times 5 is 165. If you can imagine this on a grid, that would help you figure this out. If the flea moved 88 cm northward, and his total displacement is 165, you've been given two values to the sides of a right triangle. You'll use the pythagorean theorem to solve it. 165 is the hypotenuse and 88 is one leg. Set up that equation and solve for the other leg!

Answer 2

\[a^{2}+b^{2}=c^{2}\]

Answer 3

a = 165 and c = 135