A golfer takes 2 putts to get his ball into the first hole once he is on the green. The first putt displaces the ball 8.9 m east, and the second 8.32 m south. What displacement woud have been needed to get the ball into the hole on the first putt? Answer in m

What is the direction ( in degrees south of east)? answer in degrees

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  1. d1=8.9m @ 0 deg., d2=8.32m @ 270 deg.

    X=8.9m + 8.32cos270 = 8.9 + 0 = 8.9m.

    Y = 8.9sin270 = -8.32m.

    a. D = sqrt((8.9)^2 + (-8.32)^2)) = 12.2m Displacement.

    b. tanA = -8.32 / 8.9 = - 0.9348.
    A=-43.1 deg = 43.1 deg. South of East.

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  2. Thank you tremendously for your help!

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