A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 4.00m north, 2.00m northeast, and 1.00m at 30.0 degrees west of south starting at the same initial point, an golfer could make the hole in what single displacement?

Answer 1

X = hor. = 2*cos(45) + 1*cos(240),
X = 1.414 + (-0.5) = 0.91m.

Y = ver. = 2*sin(45) + 4 + 1*sin(240),
Y = 1.414 + 4 + (-0.8660) = 4.55m.

tanA = Y/X = 4.55 / 0.91 = 5.0,
A = 78.7 deg.

D = X / cosA = 0.91/cos(78.7)= 4.64m.