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Johny's Circus Day!

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Storyboard Text

  • Who wants to go to the Circus today?
  • Me!!!
  • Woah!! What's that building?
  • Cool!! It's huge!
  • That's the Gigantodome Circus Center.
  • How tall is that mom?
  • 50 degrees
  • 80 feet
  • Well Johny. You're standing 80 feet from it so we can use right angle trig to solve. Using the tangent ratio we can find the height. tan(50) =height(opposite) /8080tan(50) = height95.3 feet= height
  • height
  • Look it's dancing animals!
  • ANIMAL SHOW
  • Awesome! Let's watch the show.
  • ?
  • 10 ft
  • ANIMAL SHOW
  • 15 ft
  • I wonder what the angle of the pig would be since the distance from pig to fox is 10ft, the distance from fox to bear is 12ft, and the distance from bear to pig is 15ft.
  • 12 ft
  • That's a great question! Let's use the Law of Cosines to figure it out!
  • 52.9 degrees! Thanks for taking me to the circus today mom!
  • A
  • ?
  • 10 ft
  • To find angle A (the pig) we would need to use the formula a^2=b^2+c^2-2bc cos(A), and plug the values in and solve.12^2=10^2+15^2-2(10)(15)cos(A)144=325-300cos(A)-181=-300cos(A)181/300=cos(A)cos^-1(181/300)=A= 52.9 degrees
  • ANIMAL SHOW
  • 15 ft
  • B
  • 12 ft
  • C
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