Ohsimo Kaitlin Rickard Carissa Long James Vaughan

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OhsimoKaitlin RickardCarissa LongJames Vaughan

• Subject Altitude of Balloon
• Method Use sine, cosine and tangent to find the
  height of a balloon and the Direct Line
  Hypotenuse to that balloon. Using this data, we
  will find the difference between the DLH and the
  length of the chord.

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Theoretical Background

• Hypothesis
• Hypothesis 1 As the Altitude of the Balloon
  increases there becomes more slack in the line
  therefore the ratio between the ideal length and
  the actual length will increase.
• Hypothesis 2 Every 30.48 m of line the direct
  line hypotenuse varies its ratio to the curved
  length by 10 m.

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Actual and Curved Lengths
Descending
Ascending
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Height
Ascending
Descending
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Results and Data

• The balloon never exceeded 240 meters, even
  though we used 304.8 meters of string.
• In the balloon measured, a barometers data
  coordinated with our measurements to reinforce
  our calculations.
• The wind caused the line to curve and create a
  difference in the length of the hypotenuse.

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Conclusion

• We used Trigonometric identities to calculate the
  height of the balloon as well as the hypotenuse.
  We compared this calculated data to an ideal data
  set and evaluated the differences. The data
  confirms our hypothesis that every 30.5m the
  difference between the DLH and the length of the
  string will change by 10 meters.