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Trigonometry Performance Task

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Trigonometry Performance Task
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Storyboard Text

  • Bet. I know what I can do. Go in the backyard. I'm gonna try to throw the ball over my house.
  • This is getting kinda boring.
  • Really?...Well, I have an idea. Why don't you test how high you can throw?
  • Okay, but I don't think you can do it. 
  • Relax, all we have to do is figure out the height if the tree then get a ladder.
  • How did you do that?
  • How do we find the height?
  • I don't know, but how are we gonna get it down?
  • On a hot Saturday afternoon, Kai and Chris decide to play catch outside in Kai's front yard.
  • The angle of elevation of the tree looks about 63 degrees and from the house to the tree its like 54 feet.
  • After 10 minutes of catching and passing Kai gets bored so Chris comes up with an idea to make their game more fun.
  • 63'
  • Kai launches the ball over his house and way pass Chris. It lands right on top of the tallest tree in his backyard.
  • Chris explains to Kai how to find the height of the tree.
  • So all we have to do is use tangent to find the height.
  • Okay, lets do it
  • Chris and Kai find the height of the tree to be 106 feet.
  • The tree is about 106 feet so we need the big ladder.
  • 54
  • tan63=x/54 x=106
  • Chris holds the ladder while Kai climbs to retrieve their football. Then they return to the front yard to enjoy lemonade that Kai's mom made for them.
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