Answer:
d = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{d}{12}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2d = 12[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
d = 6[tex]\sqrt{2}[/tex]
