Answer:
y = 9[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex]
Multiply both sides by y
y × sin45° = 9, that is
y × [tex]\frac{1}{\sqrt{2} }[/tex] = 9
Multiply both sides by [tex]\sqrt{2}[/tex]
y = 9[tex]\sqrt{2}[/tex]
