Answer:
D
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{s}{\sqrt{32} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
s × [tex]\sqrt{2}[/tex] = [tex]\sqrt{32}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
s = [tex]\frac{\sqrt{32} }{\sqrt{2} }[/tex] = [tex]\sqrt{\frac{32}{2} }[/tex] = [tex]\sqrt{16}[/tex] = 4 → D
