Answer:
x = 0.6623
y = 8
Image is attached for refernce of my solution
Step-by-step explanation:
In Δ DEF
By applying pythagoras theoram,
DE = [tex]\sqrt{EF^{2} - DF^{2} }[/tex]
=[tex]\sqrt{17^{2} - 15^{2} } = \sqrt{289 - 225} = \sqrt{64} =8[/tex]
∴ DE = 8
In Δ ABC
BC = y = 12 sin 30° = 6
AC = [tex]\sqrt{3}[/tex] + DE + x = [tex]\sqrt{3}[/tex] + 8 + x = 12 cos 30°
⇒ 9.73 + x = 10.39
⇒ x = 0.6623
