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On a dogleg golf hole, one golfer hits the ball 250 yards and then another 150 yards to reach the green. The angle between the two hits is equal to 100 degrees. How far would the golfer have to originally hit the ball for it to go directly to the same position on the green?


98,023.613 yards

313.087 yards

142.570 yards

105.543 yards


Sagot :

The 250 and 150 yards and the 100° angle are two sides and included

angle of a triangle. The third side by cosine law as 313.087 yards.

Response:

  • 313.087 yards

How can the distance between the two locations be calculated?

The given parameters are;

Distance travelled on first hit = 250 yards

Distance travelled on second hit = 150 yards

Angle between the two hits = 100°

Required:

The distance the golfer is required to originally hit the ball to travel the

same location on the green.

Solution:

According to cosine law, we have;

d² = 250² + 150² - 2 × 250 × 150 × cos(100°)

Where;

d = The distance between the initial and location on the green

Which gives;

d = √(250² + 150² - 250 × 150 × cos(100 Degrees)) ≈ 313.087

The distance the golfer has to originally hit the ball for it to go directly to

the same position on the green is, d ≈ 313.087

  • The correct option is the option 313.087 yards

Learn more about the cosine law here:

https://brainly.com/question/2491835

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