Answer:
a = [tex]\frac{28}{\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] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{28}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
a × [tex]\sqrt{2}[/tex] = 28 ( divide both sides by [tex]\sqrt{2}[/tex] )
a = [tex]\frac{28}{\sqrt{2} }[/tex]
