Answer:
d. [tex]\displaystyle x = 30, y = 10\sqrt{3}[/tex]
Step-by-step explanation:
In a 30°-60°-90° triangle, the shorter leg is represented by [tex]\displaystyle x,[/tex]the longer leg is represented by [tex]\displaystyle x\sqrt{3},[/tex]and the hypotenuse is represented by [tex]\displaystyle 2x.[/tex] So, evaluate:
[tex]\displaystyle hypotenuse \hookleftarrow 2x \\ long\:leg \hookleftarrow x\sqrt{3} \\ short\:leg \hookleftarrow x \\ \\ 20\sqrt{3} = 2x\:[x\:is\:'y'\:in\:this\:case]; 10\sqrt{3} \\ \\ \\ x\sqrt{3} = x \\ \\ 30 = 10\sqrt{3}[\sqrt{3}][/tex]
In the end, you arrive at this:
[tex]\displaystyle x = 30, y = 10\sqrt{3}[/tex]
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