Question

What I need to know is how to find x and y values by representing the answers in simplest radical form where necessary

Answer 1

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 = $\sqrt{EF^{2} - DF^{2} }$

     =$\sqrt{17^{2} - 15^{2} } = \sqrt{289 - 225} = \sqrt{64} =8$

∴ DE = 8

In Δ ABC

BC = y = 12 sin 30° = 6

AC = $\sqrt{3}$ + DE + x = $\sqrt{3}$ + 8 + x = 12 cos 30°

⇒ 9.73 + x = 10.39

⇒ x = 0.6623