Answer:
sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5
Step-by-step explanation:
segment YZ is length a, we need to find a
segment XZ is length 5
segment XY is length 12
XYZ is a right triangle, so a^2 + b^2 = z^2, so
a^2 + 5^2 = 12^2, simplify
a^2 + 25 = 144, subtract 25
a^2 = 119
a = [tex]\sqrt{119\\}[/tex]
then we can determine all the trig ratios
soh - cah - toa
sin = opp/hyp, cos=adj/hyp, tan=opp/adj
sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5
