A golfer takes two putts to sink his ball in the

hole once he is on the green. The first putt
displaces the ball 8.70 m east, and the second
putt displaces it 6.04 m south.
What displacement would put the ball in
the hole in one putt?
Answer in units of m
and..........
What is the direction (measured from due
east, with counterclockwise positive) of the
displacement?
Answer in units of ◦

1 answer

X = 8.70 m.
Y = -6.04 m.
a. D^2 = X^2 + Y^2 = 8.7^2 + (-6.04)^2 =
112.2
D = 10.6 m.

b. Tan A = Y/X = -6.04/8.7 = -0.69425
A = -34.8o CW.
A = 360 - 34.8 = 325.2o CCW.