The first problem that I can't wrap my head around is:

"Find the acute angle that is formed by the line y - sqrt(3x) + 1 = 0 and the x-axis."

The second problem is a very confusing word problem:

"Express the lengths a and b in the figure in terms of the trigonometric ratios of the angle."

Textbook's diagram recreated in Paint: http://i.imgur.com/FEwzP.png

Thank you!!