Question

What are the steps to solving this?

Answer 1

m = 6
`√(3)` , n = 6

Explanation:

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

cos30° =
`(√(3) )/(2)` , sin30° =
`(1)/(2)` , then

cos30° =
`(adjacent)/(hypotenuse)` =
`(m)/(12)` =
`(√(3) )/(2)` ( cross- multiply )

2m = 12
`√(3)` ( divide both sides by 2 )

m = 6
`√(3)`

and

sin30° =
`(opposite)/(hypotenuse)` =
`(n)/(12)` =
`(1)/(2)` ( cross- multiply )

2n = 12 ( divide both sides by 2 )

n = 6