60 likes | 260 Views
How Tall Is It?. By Laila Musaed , Grant Adams, and Anna Leigh Little 1 st period March 9, 2009. 30 degrees. 30-60-90 Long Leg=√3(Short Leg) 50ft =√3(Short Leg) 50/√3 = Short Leg 50√3/3 ≈ 28.87 ≈Short Leg
E N D
How Tall Is It? By LailaMusaed, Grant Adams, and Anna Leigh Little 1st period March 9, 2009
30 degrees 30-60-90 Long Leg=√3(Short Leg) 50ft=√3(Short Leg) 50/√3= Short Leg 50√3/3≈28.87≈Short Leg 28.87+ 5.83(Grant’s Height in ft) ≈34.7≈Height of Stadium Trig: Tan(x)=Opposite/Adjacent Tan 30=(x)/50 x≈28.87 28.87≈ Opposite Leg 28.87(OL)+ 5.83(Grant’s Height) ≈34.7≈Height of Stadium Person: Grant Eye height: 70 inches Distance from stadium: 50ft 50 ft
45 degrees 45-45-90 Leg=Leg 30ft=30ft Laila’s height in ft ≈4.92 30+ 4.92 (Laila’s Height) ≈34.92 ≈Height of Stadium Trig: Tan(x)=Opposite/Adjacent Tan 45=(x)/30 X=30 30= Opposite Leg 30(OL)+ 4.92(Laila’s Height) ≈34.92≈Height of Stadium Person: Laila Eye height: 59 inches Distance from stadium: 30ft 30ft
50 degrees Person: Laila Eye height: 59 inches Distance from stadium: 25ft Trig: Tan(x)=Opposite/Adjacent Tan 50=(x)/25 X ≈29.79 29.79 ≈ Opposite Leg 29.79(OL)+ 4.92(Laila’s Height in ft) ≈34.71≈Height of Stadium 25 ft
60 degrees 30-60-90 Long Leg=√3(Short Leg) Long Leg=√3(17) √3(17)=17 √3 ≈29.44 29.44 ≈Long Leg 29.44+ 4.75 (Anna Leigh’s Height) ≈34.19 ≈Height of Stadium Trig: Tan(x)=Opposite/Adjacent Tan 60=(x)/17 x≈29.44 29.44≈ Opposite Leg 29.44(OL)+ 4.75(Anna Leigh’s Height) ≈34.19≈Height of Stadium Person: Anna Leigh Eye height: 57 inches Distance from stadium: 17 ft 17 ft
Conclusion • Average Height of Stadium= (34.7+34.92+34.71+34.19)/4=34.63 ft Lessons Learned: • The larger the angle that we were measuring was, the closer we were to the stadium • The measurements were not always accurate because everyone takes different size steps when walking toward the stadium