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Verified Answer :

X=7. Y=7 sq rt of 2 =9.9

Answer:

Step-by-step explanation:

From the given figure and the information, using trigonometry,

\(\frac{x}{7}=tan45^{{\circ}}\)

⇒\(\frac{x}{7}=1\)

⇒\(x=7\)

Also, \(\frac{x}{y}=sin45^{{\circ}}\)

⇒\(\frac{7}{y}=\frac{1}{\sqrt{2}}\)

⇒\(y=7\sqrt{2}\)

⇒\(y=9.9\)

Thus, the values of x and y are 7 and 9.9 respectively.