Answer:
a = [tex]2\sqrt{2}[/tex]
b = 2
Step-by-step explanation:
By applying tangent rule in the given triangle,
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(45)° = [tex]\frac{2}{b}[/tex]
1 = [tex]\frac{2}{b}[/tex]
b = 2
Now we apply sine rule in the triangle,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(45)° = [tex]\frac{2}{a}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{2}{a}[/tex]
a = [tex]2\sqrt{2}[/tex]
