~Pink Team~
Anthony GhosseinNaomi YusafiJacob Kimes
Corey Sullivan
30 degree triangle30,60, 90 triangle hyp.= 2*Short leg Long leg= short leg*sq. root of 3My height=5.42ftDistance to pole= 38 feet
Height of triangle= 38/ square root of 3= 38 square Root of 3 over 3.Height of pole= 114+38 sq. root of 3 over 3.
38
Trigonometry: tan of 30= x/38Tan (30) 38= 21.94Height of triangle= 21.94Height of pole= 5.42 +21.94Height of pole= 27.36
45 degree triangleIn 45,45,90 triangle leg=leg and hyp=leg x square root of 2. 24ft + my height =the height of the pole.My height = 5.33ftHeight of pole= 29.33ft
Trig.Tan=opp/adjTan45=x/24X=24Height of pole= 29.33ft
24ft
24ft
60 degree triangleIn a 30,60, 90 triangle hyp.= short leg(2) and the long leg= short leg (square roots of 3) My height=4.66ft
14ft
X
Special right triangleLong leg= 14 (square root of 3) therefore…The height of the pole is 14 square roots of 3
TrigonometryTan= opp./adj.Tan 60=x/14→ X= Tan 60 X 14 → 24.25
50 degree triangle
20
Trigonometry:Tan = opp./adj.Tan50 = X/20 X = 23.83My height = 6ftHeight of pole = 29.83
x
In Conclusion…
• Average height of the pole:27.36+ 29.33+ 24.25+29.83=110.77/4= 27.69• During this process we used the clinometers
to measure our angle measures to the pole, then calculated our distance in feet. After that we applied special right triangle math and trigonometry to determine the height of the pole.