Answer:
The answer to the question is
The magnitude of the displacement needed to get the ball into the hole in just one putt is 1.746m in the direction of 23.41° north east
Explanation:
With trigonometric relation and the attached diagram we have
From the diagram the location of the hole is 3.32m- (1.57 cos45 +0.78co45)m North and
1.57sin 45 – 0.78 sin 45 meters west
1.658m north and
0.55m east
Thus the direction of the hole is 26.41 degrees Â
North east
The magbitude of the displacement is  displacement is gotten from the relation diplacement of x and y =√(x²+y²)
[tex]\sqrt{1.658^{2} +0.55^{2} } = 1.746 m[/tex]∠26.41°