Answer:
D
Step-by-step explanation:
Since the triangle is right use the sine trig ratio to solve for x
noting that sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{x}[/tex]
Multiply both sides by x
x × sin45° = 8 ( divide both sides by sin45° )
x = [tex]\frac{8}{sin45}[/tex] = [tex]\frac{8}{\frac{1}{\sqrt{2} } }[/tex] = 8[tex]\sqrt{2}[/tex]
