Math project trig

Math project trig
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  • Emilia is a 3 year old girl who loves cookies. She eats them all day long and can’t go a day without them. One day she was bad and her mom told her she can't have anymore cookies. She is looking up at the cookie jar that sits on the table and is determined to get it.
  • COOKIES
  • Emilia waits until her mom goes to the other room. She is standing 29 feet away looking at the table with the cookie jar at an angle of 55°. She wonders how high the jar is, and to do so she uses trig. She finds out that Tan(55) * 29 = 41.4. The cookie jar is 41 feet high.
  • 55°
  • 29 ft
  • X
  • COOKIES
  • Unfortunately, she realizes that the cookie jar is too high for her to reach. She stands on a chair to get closer to the height of the table. Now the cookie jar is 15 feet high and her angle to the table is 53°. She uses trig to figure out how far away she is. She finds out that 15/Tan(53) = 11.3. Now she is 11 feet away.
  • 53°
  • 53°
  • 15 ft
  • COOKIES
  • Sadly, Emilia is still far away. She decides to move the chair closer and stand on her tippy-toes. She realizes that she can't reach the jar so she grabs a stick to try to bring it closer.  The cookie jar is 10 feet high and the stick is 15 feet long. Her angle to the table is 50°. She finds out that Cos(50) * 15 = 9.6.  The jar is 10 feet away. 
  • 15 ft
  • 50°
  • X
  • 10 ft
  • COOKIES
  • She is very close to getting the jar now. She notices that she is 8 feet away from the 9 foot table. She needs to find the angle of elevation. She concludes that Tan-1 (9/8)  is 48.4°.
  • 8 ft
  • 9 ft
  • COOKIES
  • Emilia finally gets the cookie jar! Now can she have all the cookies she wants!
  • THE END
  • COOKIES
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