Answer:
x=4[tex]\sqrt{5}[/tex],y=8[tex]\sqrt{5}[/tex]
Step-by-step explanation:
sin∠SRT = sin∠TSV,
SO [tex]\frac{x}{20} =\frac{4}{x}[/tex], [tex]x^{2}[/tex]=80,x=[tex]\sqrt{80} =4\sqrt{5}[/tex];
In the same way:
sin∠RSV = sin∠RTS,
SO [tex]\frac{16}{y} =\frac{y}{20}[/tex]，[tex]y^{2}[/tex]=320,y=8[tex]\sqrt{5}[/tex]
