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35 votes
35 votes
А football player shoot to score When he is 12m from one goal post and 6m from the other. If the goal posts are 7m apart, within what angle must a ground Shoot be made to score​

User Mark Skelton
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1 Answer

22 votes
22 votes

Answer:

  • 24.54°

Explanation:

The three segments make a triangle with sides 6, 7 and 12 m.

We need to find the angle opposite to side 7 m.

Use the low of cosines to work out the angle x:

  • cos x = (6² + 12² - 7²)/(2*6*12)
  • cos x = 0.9097
  • x = arccos (0.9097)
  • x = 24.54° (rounded)
User Tom Chantler
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3.3k points