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  • Scene One
  • Oh no! There is a cat stuck up in that tree!
  • Scene Two
  • Let's see how it can come down safely.The tree is about 75 feet high...
  • Scene Three
  • How will we know how far to set up the ladder to the tree?
  • We need a ladder that is about 100 feet to reach the top.
  • The lady spots a pet cat stuck high in the tree
  • Scene Four
  • Well we can use the law of cosines! the angle of elevation is about 32 degrees.
  • first we do a^2 = 75^2 + 100^2  - 2(75)(100)(cos32) on the calculator. a^2 then equals 2904.28, we square root that to equal 53.89.
  • The man overhears and wants to help figure out a way to rescue it.
  • Scene Five
  • How do we solve that?
  • The guy states what they need. The lady wants to know how far to place the ladder to connect it to the tree.
  • Scene Six
  • So approximately we have to set the ladder 54 feet away from the tree? 
  • The guy tells her they can use the law of cosines to figure that out.
  • the lady asks how to solve it and then man proceeds to explain how to do it on the calculator.
  • they then figured out how far the ladder needed to be to rescue the cat
  • Correct! Now we can save the cat!
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