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Indirect Measurement Project . by: Anthony M. Ryan M. Sammantha T. Varsik P. Measurements used. *Trigonometry *Similar Triangles *30-60-90 Triangles. DATA:. similar triangles: trig: 30-60-90 Triangles:. x. 5.11ft. x. 6.7ft. 45.2ft. 55. 4.5ft. 22ft. x. 30. 4.8ft.
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Indirect Measurement Project by: Anthony M. Ryan M. Sammantha T. Varsik P.
Measurements used *Trigonometry *Similar Triangles *30-60-90 Triangles
DATA: similar triangles: trig: 30-60-90 Triangles: x 5.11ft x 6.7ft 45.2ft 55 4.5ft 22ft x 30 4.8ft 45.2ft
Trigonometry Tan(55)x 1 22ft Tan(55) 22ft = x 1.4281 22ft = x 31.42 = x x = 31.42 4.5 x = 35.9 ft x 55 4.5 22ft Add how high your’e holding the angle measure.
Similar Triangles 6.7 5.11 45.2 x 6.7x230.972 6.7 6.7 x 34.47 x 5.11ft 6.7ft 45.2ft
30-60-90 Triangles x = 45.2ft 3 3 3 = 45.2 3 3 x = 15.1 3 + 4.8 x = 19.9 3 Add how high you’re holding angle measure x 30 4.8ft 45.2ft
Comparisons: • For trigonometry we got 35.9 • For similar triangles we got 34.47 • Finally for 30-60-90 we got 34.46 • The strategies that produced the most accurate result were 30-60-90 and similar triangles because the measurements produced a solution of 34.46 and 34.47 (34.5 rounded). • The strategy our group preferred the most was 30-60-90 because you already knew all the angle measures and how to get all the side measurements • The strategy that we recommend is 30-60-90 because we found it the simplest way to find the side lengths