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On a 180-yard hole, a golfer hits the ball 175 yards, 3 degrees off-line. How far is the ball from the cup?

On a 180-yard hole, a golfer hits the ball 175 yards, 3 degrees off-line. How far is the ball from the cup?

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Roman C. | Masters of Education Graduate with Mathematics ExpertiseMasters of Education Graduate with Mathe...
4.9 4.9 (253 lesson ratings) (253)
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You can set this up using the law of cosines.

Recall that the law of cosines is c2 = a2 + b2 -2ab cos θ where θ is the angle included between sides of lengths a and b while c is the remaining side's length.

In this case we have a = 175, b = 180, and θ = 3°

So the final distance is

c = √(1752 + 1802 - 2·175·180 cos 3°) = 10.6 yards