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Trigonometric Basketball

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Trigonometric Basketball
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Storyboard Text

  • The Trigonometric Game
  • Kyle and his friend Mike are playing a game of basketball against each other and they both want to see how much they have improved since there last game.
  • Xo
  • Kyle is 24 feet away from the net and the next is 10 feet tall , Kyle wants to figure out at what angle does he need to shoot the ball so that it will go in
  • 24 feet
  • 10 feet
  • Kyle decides to use the trigonometry that he learned in 10th grade to solve this problem; he uses the equation tan-1 (10/24) to get an answer of 42%, so he has to shoot the ball in a 42% angle.
  • X
  • 24 feet
  • 10 feet
  • X
  • Mike got the ball and is now going for a dunk, he wants to know how high he needs to jump
  • 35
  • 20
  • Mike uses what he knows to find out how high the hoop is; he uses the equation 35 times Sine 20 to get his answer. after doing his equation he got a answer of 12.0 feet
  • X
  • Mike decides to move back more and now wants to find out how far is he from under the net
  • 40
  • 20
  • Mike decides to use trigonometry again to find how far he is and decides to use the equation 40 times cosine 20 to get a answer of 37.6; so that's how far he is from the net
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