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A golfer hits from a tee for a 300-yard hole. Her drive carries 275 yards but it’s 13 degrees off the line from the hole. How much farther must the golfer now hit the ball to reach the hole?

A Golfer Hits From A Tee For A 300yard Hole Her Drive Carries 275 Yards But Its 13 Degrees Off The Line From The Hole How Much Farther Must The Golfer Now Hit T class=

Sagot :

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By using the cosine rule, we will see that the distance between the golfer and the hole is 69.7 yd.

How to find the distance?

Basically, we need to find the length of the missing side of the shown triangle.

So, one side measures 300yd, other side measures 275 yd, and the angle between these sides measures 13°.

Now we can use the cosine rule, where for sides a, b, and c, and angle A (A is the opposite angle to the side a) the rule says:

a^2 = b^2 + c^2 - 2bc*cos(A).

In this case we define:

  • b = 300yd
  • c = 275 yd
  • A = 13°

Replacing that we get:

a^2 =  (300yd)^2 + (275yd)^2 - 2*(300yd*275yd)*cos(13°) = 4,853.94 yd^2

a = √(4,853.94yd^2) = 69.7 yd

So the distance between the golfer and the hole is 69.7 yd.

If you want to learn more about triangles, you can read:

https://brainly.com/question/2217700

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