Answer:
C
Step-by-step explanation:
Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
a = 6[tex]\sqrt{2}[/tex]
Using the tangent ratio and the exact value tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{b}[/tex] = 1 , so
b = 6
