Question

Find the missing lengths of the sides.

Answer 1

Answer:

a is 3

and b is 5

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Answer 2

Answer:

a = 3 inches

b = 3$\sqrt{3}$ 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

$\frac{\sqrt{3} }{2}$ = $\frac{b}{6}$              (Cos 30° = $\sqrt{3}$ / 2)

b = 6 * $\frac{\sqrt{3} }{2}$

b = 3$\sqrt{3}$ inches

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