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adjacent

Recall: Parts of a Right Triangle. B. hypotenuse. opposite. A. C. adjacent. B. hypotenuse. adjacent. C. opposite. A. B. hypotenuse. opposite. A. C. adjacent. B. hypotenuse. adjacent. C. opposite. A. B. h yp. o pp. C. A. a dj. T OA. S OH. C AH. B. SOH CAH TOA.

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adjacent

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  1. Recall: Parts of a Right Triangle B hypotenuse opposite A C adjacent

  2. B hypotenuse adjacent C opposite A

  3. B hypotenuse opposite A C adjacent

  4. B hypotenuse adjacent C opposite A

  5. B hyp opp C A adj TOA SOH CAH

  6. B SOH CAH TOA hyp 10 opp 8 A C 6 adj

  7. SOH CAH TOA B hyp 13 5 adj A 12 C opp

  8. Example 1: Determine side b B SOH CAH TOA 55º 8 cm adj b C A opp b=8 tan 55° b= 11.4 cm

  9. Example 2: Determine side c if A is 31°. B hyp C A 13 cm adj c= 15.2 SOH CAH TOA

  10. Example 3:Determine side p if P is 45°. opposite R Q p = 12.0 17 cm SOH CAH TOA P hypotenuse

  11. Trig Ratios - Finding Angles

  12. SOH CAH TOA B hyp opp C A adj

  13. B SOH CAH TOA hyp 10 opp 8 A C 6 adj

  14. SOH CAH TOA B hyp 13 5 adj A 12 C opp

  15. Example 1: Determine the measure of ÐA. B 8 cm opp tan A = 0.6154 13 cm C A adj ÐA = tan-1(0.6154) SOH CAH TOA ÐA = 31.6°

  16. Example 2:Determine the measure of ÐP. SOH CAH TOA R adjacent cos P = 0.70588 12 cm ÐP = cos–1(0.70588) Q 17 cm ÐP = 45.1° P hypotenuse

  17. R 8 cm Q P 4 cm Ex. 3:In DPQR, ÐQ = 90°, PR = 8 cm and PQ = 4 cm. Find R. hyp opp SOH CAH TOA

  18. Example 4: Determine the measure of ÐB B 3 cm adj A 5 cm C tan B = 1.6666 opp ÐB = tan-1(1.6666) SOH CAH TOA ÐB = 59.0°

  19. homework pg.398 #1-14

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