Jeff walks west in a straight path for 100 meters and then east in a straight path for 150 meters. What is the magnitude of his displacement, in meters?

Answer 1

Pythagorean theorem:

sqrt( 100^2 + 150^2) =

sqrt( 10000 + 22500) =

sqrt(32500) =

sqrt( 325*100) =

sqrt( 25*13) * sqrt(100) =

5*sqrt(13) * 10 =

50*sqrt(13)