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How Tall Is It?By:
Will Basden
Damon Hall
Jordan Yousif
March 8, 2011
Will Basden 60°
60°
5
Height to head=60÷12=5 feet
Special Right TrianglesLong leg=short leg*√34*√3=long leg4√3+5=5+4√3 feet.The height to the square is 5+4√3 feet.
4
TrigonometryTan 60=x/44*tan 60=xx=6.936.93+5≈11.93The height to the square is about 11.93 feet.
Trigonometry
Tan 45 = x/10x = 10Arch = 10+5.7 = 15.7
10 ft
x
5.7 ft
Special Right Triangles
leg = leg10 = 10
45
45
Will Basden 30°
Height to head=60÷12=5 feet
30°
511
Special Right TrianglesShort leg=long leg÷√3Short leg=11/√3Short leg=11√3/311√3/3+5=11√3/3+5The height to the square is 5+11√3/3 feet.
TrigonometryTan 30=x/11x=tan 30*11x≈6.35Height to square =5+6.35=11.35The height to the square is approximately 11.35 feet.
40o
Trigonometry
Tan 40 = x / 7x ≈ 5.87h ≈ 5.87 + 4.92h ≈ 10.79 ft
The length from the ground to the square is 10.79 ft.
Jordan = 59 inches tall59 inches = 4.92 ft
Results
Angle Measurement Approximate Height to square
30° 11.35
45° 15.7
60° 11.93
40° 10.79
Average 12.44
We figured that the height to the square on the wall was about 12.44 feet high.
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