A golfer takes two putts to sink his ball in the once he is on the green. The first putt displaces the ball 6.00 m east, and the second putt displaces it 5.40 m south.

Question

What displacement would put the ball in the hole in one putt?

and how do I show this graphically?

Answer 1

Those two putts that led to the cup were at right angles. So, take the hypotenuse
sqrt[(6^2 + 5.4^2] = ?

Why do it graphically?
If you must, draw the situation (a right triangle) on graph paper.