Answer:
a = 3 inches
b = 3[tex]\sqrt{3}[/tex] inches
Step-by-step explanation:
From the figure,
Sin 30° = Opposite / Hypotenuse
Sin 30° = a / 6
1 / 2 = a / 6 (Sin 30° = 1/2)
a = 3 inches
From the same angle,
Cos 30° = Adjacent / Hypotenuse
Cos 30° = b / 6
[tex]\frac{\sqrt{3} }{2}[/tex] = [tex]\frac{b}{6}[/tex] (Cos 30° = [tex]\sqrt{3}[/tex] / 2)
b = 6 * [tex]\frac{\sqrt{3} }{2}[/tex]
b = 3[tex]\sqrt{3}[/tex] inches
Kindly Mark Brainly
