How Tall Is It???Lauren Byrd, Casey Craig, and Harper Curry

Pre-Ap Geometry – 6th periodMarch 9, 2009

30 Degrees!

40 ft.30⁰

59.5cm

Long Leg=√3(short leg)40=√3(short leg)40/√3=short legShort leg=23.09+5.2Height of goal post= 28.29

tan30=short leg/40(40)tan30=short leg/30 (40)Short leg=23.09+5.2Height of goal post= 76.82

Lauren

60 Degrees!

60º

30 feetLong Leg= Short Leg (√3)Long Leg = 30 √3Long Leg = 51.96Long Leg + Person’s Height = Goal Post51.96 +5.2= Goal Post HeightHeight of Goal Post = 111.46

Lauren

60º

Tan(60) = opposite (adjacent)Tan (60) = o (30)Tan 60/30 = oLong Leg = 51.96Long Leg + Person’s Height = Goal Post Height51.96+59.5 = Goal Post Height111.46 = Height of Goal Post

59.5 cm

45 Degrees!

45º

45º

Casey

Leg = leg24 = 24Leg + person’s height= height of goal post24 + 5.7 = height of goal postHeight of goal post = 29.7

•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

25 Degrees!

36 feet

25⁰

65°

Harper

Tan 25 = short leg/ 36 short side + height = height of goal post36 (tan25) = short side 16.79+5.4 = goal post heightShort side = 16.79 goal post height = 21.94

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.