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How Tall Is It???

How Tall Is It???. Lauren Byrd, Casey Craig, and Harper Curry Pre- Ap Geometry – 6 th period March 9, 2009. 30 Degrees!. Lauren. 30⁰. 40 ft. 59.5cm. Long Leg=√3(short leg) 40=√3(short leg) 40/√3=short leg Short leg=23.09+5.2 Height of goal post= 28.29. tan30=short leg/40

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How Tall Is It???

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  1. How Tall Is It??? Lauren Byrd, Casey Craig, and Harper Curry Pre-Ap Geometry – 6th period March 9, 2009

  2. 30 Degrees! Lauren 30⁰ 40 ft. 59.5cm Long Leg=√3(short leg) 40=√3(short leg) 40/√3=short leg Short leg=23.09+5.2 Height of goal post= 28.29 tan30=short leg/40 (40)tan30=short leg/30 (40) Short leg=23.09+5.2 Height of goal post= 76.82

  3. 60 Degrees! 60º Lauren 60º 30 feet 59.5 cm Long Leg= Short Leg (√3) Long Leg = 30 √3 Long Leg = 51.96 Long Leg + Person’s Height = Goal Post 51.96 +5.2= Goal Post Height Height of Goal Post = 111.46 Tan(60) = opposite (adjacent) Tan (60) = o (30) Tan 60/30 = o Long Leg = 51.96 Long Leg + Person’s Height = Goal Post Height 51.96+59.5 = Goal Post Height 111.46 = Height of Goal Post

  4. 45 Degrees! Leg = leg 24 = 24 Leg + person’s height= height of goal post 24 + 5.7 = height of goal post Height of goal post = 29.7 45º Casey 45º • Tan 45 = leg/24 Leg + height=goal post height • 24 (tan 45) = leg 24 + 5.7 = goal post height • Leg = 24 goal post height = 29.7

  5. 25 Degrees! 65° Harper 25⁰ 36 feet Tan 25 = short leg/ 36 short side + height = height of goal post 36 (tan25) = short side 16.79+5.4 = goal post height Short side = 16.79 goal post height = 21.94

  6. Conclusion • The average height of the goal post is 34.27 feet • Lesson’s Learned • The length of the long leg gets bigger as the angle measure gets smaller • The height of the goal post was inconsistant in all of the triangles.

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