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How Tall Is It? By: Will Basden Damon Hall Jordan Yousif March 8, 2011

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Will Basden 60° 60° 5 Height to head=60÷12=5 feet Special Right Triangles Long leg=short leg*√3 4*√3=long leg 4√3+5=5+4√3 feet. The height to the square is 5+4√3 feet. 4 Trigonometry Tan 60=x/4 4*tan 60=x x=6.93 6.93+5≈11.93 The height to the square is about 11.93 feet.

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Trigonometry Tan 45 = x/10 x = 10 Arch = 10+5.7 = 15.7 10 ft x 5.7 ft Special Right Triangles leg = leg 10 = 10 45

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Will Basden 30° Height to head=60÷12=5 feet 30° 511 Special Right Triangles Short leg=long leg÷√3 Short leg=11/√3 Short leg=11√3/3 11√3/3+5=11√3/3+5 The height to the square is 5+11√3/3 feet. Trigonometry Tan 30=x/11 x=tan 30*11 x≈6.35 Height to square =5+6.35=11.35 The height to the square is approximately 11.35 feet.

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40 o Trigonometry Tan 40 = x / 7 x ≈ 5.87 h ≈ 5.87 + 4.92 h ≈ 10.79 ft The length from the ground to the square is 10.79 ft. Jordan = 59 inches tall 59 inches = 4.92 ft

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Results Angle MeasurementApproximate Height to square 30°11.35 45°15.7 60°11.93 40°10.79 Average12.44 We figured that the height to the square on the wall was about 12.44 feet high.

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Area = base x height A = bh Note: The base and height create a right angle!

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