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Group 3 D emetrius Ransfer Isabel Aguilar Christian Corona Robin Pollok. Indirect Measurement Project: Field Goal. Our Three Measurements. Trigonometry Similar Triangles 30-60-90 Triangles. Trigonometry. Measured the shadow of the field goal (long leg) Shadow length: 681 inches
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Group 3 Demetrius Ransfer Isabel Aguilar Christian Corona Robin Pollok Indirect Measurement Project: Field Goal
Our Three Measurements • Trigonometry • Similar Triangles • 30-60-90 Triangles
Trigonometry • Measured the shadow of the field goal (long leg) • Shadow length: 681 inches • We then measured the angle of the shadow and hypotenuse which was 32 degrees. • Our group then took Tan32 and multiplied it by 681 which came out to be approximately 425.5 inches. • We also found that the 3rd angle measure had to be 58 degrees so we took Sin58 and multiplied it by 681 and found that the hypotenuse was 803 inches.
Similar Triangles • We measured Isabel’s shadow which was 167 inches long and measured that she is 63 inches tall. • We also measured the field goal’s shadow and found that is was 681 inches. • We then put 167 over 681 and cross-multiplied it with 63 over x (height) and found that it equals 256.9 inches.
30-60-90 Triangle • We found the length of the shadow of the field goal post was 681 inches. • We then measured the angle and found that it is 30 degrees. • With this information we found that the height is approximately 393.1 inches and the hypotenuse is approximately 786.2 inches.
Comparison • Upon reviewing all of our results we noticed that all of the measurements were pretty far off from each other. • However, upon averaging the height of all three of our measurements (358.1 inches) we found that the average was basically in the middle of all of the three measurements.