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Right Triangle Review Sheet

This review sheet offers step-by-step solutions for calculating the sides and angles of right triangles using the SOHCAHTOA trigonometric relationships. Students can find angles and side lengths by applying cosine, sine, and tangent functions, including examples and explanations for scenarios with specific side lengths. The sheet provides strategies for finding angles to the nearest tenth of a degree, ensuring learners grasp the concepts of trigonometry effectively.

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Right Triangle Review Sheet

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  1. Right Triangle Review Sheet OBJ: •Solve for sides and angles in right triangles

  2. A 79.6 C 2.2 B SOHCAHTOA cos = Adj Hyp 16. cos(79.6) = 2.2 c (AB) 2.2/cos(79.6) = c 12.2 = c 17. tan = Opp Adj tan(79.6) = b (AC) 2.2 2.2 tan(79.6°) = b 12.0 = b 18. A = 10.4  (12.22 – 122) = 2.2 EX: Solve: B = 79.6

  3. A b c C aB SOHCAHTOA tan = Opp Adj tan = 7 9 A = tan-1(7/9) = 37.9° 19. If a = 7 and b = 9, find mA to the nearest tenth of a degree.

  4. A b c C aB SOHCAHTOA tan = Opp Adj tan = 4.7 1.8 B = tan-1(4.7/1.8) = 69.0° 20. If a = 1.8 and b = 4.7, find mB to the nearest tenth of a degree.

  5. A b c C aB SOHCAHTOA tan = Opp Adj tan = 18 7 B = tan-1(18/7) = 68.7° (68°40') 21. If a = 7 and b = 18, find mB to the nearest tenth of a degree.

  6. A c 57.5° 355 B a C SOHCAHTOA tan = Opp Adj tan(57.5°) = a 355 355(tan57.5°) = a = 557.2 cos = Adj Hyp cos(57.5°) = 355 c c = 355/cos(57.5°) = 660.7 B = 32.5°  (660.72 – 557.22) = 355.0 22) A = 57.5; b = 355

  7. A 63° c b B 9.7 C SOHCAHTOA tan = Opp Adj tan(63°) = 9.7 b 9.7/(tan63°) = b = 4.9 sin = Obj Hyp sin(63°) = 9.7 c c = 9.7/sin(63°) = 10.9 B = 27.0°  (10.92 – 4.92) = 9.7 23) A = 63; a = 9.7

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