Answer:
22. [tex]\dfrac{b}{c}[/tex]
24. [tex]\dfrac{\sqrt{17} }{17}[/tex]
26. [tex]\dfrac14[/tex]
28. [tex]\dfrac{\sqrt{17} }{17}[/tex]
30. [tex]\dfrac12[/tex]
32. [tex]\dfrac{\sqrt{2} }{2}[/tex]
34. [tex]\dfrac{\sqrt{3} }{2}[/tex]
36. AC = 5.41 (nearest hundredth)
Step-by-step explanation:
Using trig ratios:
[tex]sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}[/tex]
where [tex]\theta[/tex] is the angle, O is the side opposite the angle, A is the side adjacent the angle, H is the hypotenuse of a right angle
22. [tex]cos(x)=\dfrac{b}{c}[/tex]
24. [tex]sin(x)=\dfrac{2}{2\sqrt{17} }=\dfrac{\sqrt{17} }{17}[/tex]
26. [tex]tan(x)=\dfrac{2}{8}=\dfrac14[/tex]
28. [tex]cos(y)=\dfrac{2}{2\sqrt{17} }=\dfrac{\sqrt{17} }{17}\dfrac{}{}[/tex]
30. [tex]sin(30)=\dfrac12[/tex]
32. [tex]sin(45)=\dfrac{\sqrt{2} }{2}[/tex]
34. [tex]cos(30)=\dfrac{\sqrt{3} }{2}[/tex]
36. [tex]tan(31)=\dfrac{AC}{9}[/tex]
[tex]\implies AC=9tan(31)=5.41[/tex] (nearest hundredth)
