Trigonometry Performance Task
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- 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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