1. Right Triangle Trigonometry
Solving Right Triangles
Thursday, October 17, 2019

2. where A represents the angle of reference.
Trigonometry: Solving a right triangle
where A represents the angle of reference.
H is the Hypotenuse, always being opposite the right angle. Relative to angle x, O is the Opposite and A is the Adjacent.
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3. Right triangle Trigonometry
A right triangle is defined as having one angle precisely equal to 90o (a right angle).
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4. Practice Trig 1 1) What side is opposite angle B? z y B x
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5. Practice Trig 1 1) What side is opposite angle B? z y B x Answer: y
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6. Practice Trig 1 2) What side is adjacent angle B? z y B x
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7. Practice Trig 1 2) What side is adjacent angle B? z y B x Answer: x
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8. Practice Trig 1 3) Find cos B z y B x
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9. Practice Trig 1 3) Find cos B z y B x Answer: cos B = x/z
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10. Practice Trig 1 4) Find the hypotenuse. z y x
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11. Practice Trig 1 4) Find the hypotenuse. z y x Answer: z
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12. Practice Trig 1
5) Set up the trigonometric ratio for the right triangle that you would use to find x. 50º 8 x
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13. Practice Trig 1
5) Set up the trigonometric ratio for the right triangle that you would use to find x. cos 50º = 8/x 50º 8 x
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14. Practice Trig 1
5) Set up the trigonometric ratio for the right triangle that you would use to find x. 50º 8 x
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15. Practice Trig 1 6) Find sin . Then find  36 60 48  48 
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16. Practice Trig 1 6) Find sin . sin  = 48/60 36 60 48  48 
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17. Practice Trig 1 6) Find sin . 36 60 48  48 
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18. Practice Trig 1 7) Find tan . Find measure of angle. 20 52 48  48 
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19. Practice Trig 1 7) Find tan . 20 52 48 tan  = 20/48  48
tan  = 20/48 
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20. Practice Trig 1 7) Find tan . 20 52 48 48
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21. Thursday, October 17, 2019Thursday, October 17, 2019

22. More Practice How to set up and solve a trigonometry problem when solving for a side of the triangle:
Example 8:  In right triangle ABC, hypotenuse AB=15 and angle  A=35º.    Find leg length, BC, to the nearest tenth.
Thursday, October 17, 2019

23. Example 8
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24. Solve triangle
Example 9:  In right triangle ABC, leg length BC=20 and angle B = 41º.  Find hypotenuse length BA to the nearest hundredth.
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25. Example 9
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26. Example 10 Find side CA. tan 68
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27. Example 11
Set up the trigonometric ratio for the right triangle that you would use to find x. 40º 8 x
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28. Example 11
Set up the trigonometric ratio for the right triangle that you would use to find x. cos 40º = 8/x 40º 8 x
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29. Example 11
Set up the trigonometric ratio for the right triangle that you would use to find x. 40º 8 x
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30. Example 12 Find sin . sin  = 48/50 36 50 48  48 
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31. Example 12
Find sin . 48 
Thursday, October 17, 2019