How Can an Expert Golfer Sink a Ball in One Stroke?

[balling12]

Homework Statement

A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 3.90 m to the north, 2.10 m northeast, and 1.00 m at 30.0° west of south. Starting at the same initial point, an expert golfer could make the hole in what single displacement? At what angle?

Homework Equations

The Attempt at a Solution

I attempted to draw the diagram of the situation and that is as far as i have got.

 

[PhanthomJay]

Homework Statement

A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 3.90 m to the north, 2.10 m northeast, and 1.00 m at 30.0° west of south. Starting at the same initial point, an expert golfer could make the hole in what single displacement? At what angle?

Homework Equations

The Attempt at a Solution

I attempted to draw the diagram of the situation and that is as far as i have got.

Drawing a diagram is an excellent start. Now connect the origin of the first vector with the arrow of the last, and that's the resultant displacement. You can solve for it by several ways; try summing the x and y components of each vector to get the resultant x and y components,(are you familiar with this??). Please show your work so we may assist.