im confused about this math?

Question

Answer 1

Complete the large rectangle. Then Cos 30 = a/2√3 etc.

Answer 2

Steps:

1) Draw an altitude to make a 30-60-90 triangle on the left and a rectangle on the right.

2) Remember that a 30-60-90 triangle has sides in the ratio of:

(short leg) : (hypotenuse) : (long leg) = 1 : 2 : √3

In your triangle, the long leg is double that, so now you can double all the other sides:

2 : 4 : 2√3

Reading directly from the ratios, you can determine the hypotenuse a = 4.

3) You can also figure out the short leg. Subtract it from 5 to get the length of b.

b = 5 - (short leg)

I'd help you further if you weren't posting anonymously, but I think you can figure out the last part on your own, right?

Answer 3

Well, just DRAW a line or two onto the figure, so as to make a triangle and a rectangle. 

Upload your drawn pic and then we will take it from there.