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Ohsimo Kaitlin Rickard Carissa Long James 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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ohsimo kaitlin rickard carissa long james vaughan

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.

theoretical background
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.
actual and curved lengths
Actual and Curved Lengths

Descending

Ascending

height
Height

Ascending

Descending

results and data
Results and Data
  • The balloon never exceeded 240 meters, even though we used 304.8 meters of string.
  • In the balloon measured, a barometer’s 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.
conclusion
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.