Question

A pleasure boat on Lake Erie sails 3 miles due north, 4 miles due east and then 5 miles due south. How far is the boat from its starting point? Give an exact answer.

Answer 1

d^2=x^2+y^2

d^2=4^2+(3-5)^2

d^2=16+(-2)^2

d^2=16+4

d^2=20

d=√20 miles

d=2√5 miles