Question

What are the steps to solving this?

Answer 1

Answer:

m = 6$\sqrt{3}$ , n = 6

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values

cos30° = $\frac{\sqrt{3} }{2}$ , sin30° = $\frac{1}{2}$ , then

cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{m}{12}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2m = 12$\sqrt{3}$ ( divide both sides by 2 )

m = 6$\sqrt{3}$

and

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{n}{12}$ = $\frac{1}{2}$ ( cross- multiply )

2n = 12 ( divide both sides by 2 )

n = 6