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Optimal Measurement Strategies in Trigonometry: Tan vs. Similarity

Explore how indirect measurement in trigonometry is enhanced through Tan and Similarity strategies. Compare and contrast the accuracy and efficiency of using Tan method (19.4) versus Similarity method (13.658). Learn why Tan method is preferred for obtaining precise results.

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Optimal Measurement Strategies in Trigonometry: Tan vs. Similarity

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  1. Indirect Measurement Project By: Freddy Reyes, Marcus Reed, LeiAloha T. and Nhan

  2. x 5 ft 8” 36.5 ft. The shadow was a length of 36.5 ft.(short leg) The angle was at 28 degrees PICTURE

  3. Trigonometry Nhan and Freddy both used Trig to find the answer of the missing side: WORK: TAN (28) = X 36.5 X TAN (28) x 36.5 = X X = 19.4 28 36.5

  4. LeiAloha used Strategy of Similarity: 5.8 X 15.5 36.5 = 211.7=X(15.5) 211.7/15.5=X 15.5 ft X X=13.658 5’8” 28 36.5 SIMILARITY

  5. Marcus work: 30,60,90 angles theorem

  6. Nhan and LeiAloha’s strategies were more accurate and they came out with closer measurements. Using Tan, the answer was 19.4.. Using Similarity, the answer was 13.658.. We preferred using Tan, because the results were easier to receive, and they were more accurate. Also, they came out the same rather than Marcus’s way was less accurate because he had less accurate answers and his answers were longer and he rounded 28 and 62 degrees to 30 and 60. Comparisons

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