......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."
this is not an equation of a line
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."
cos theta = a/b. i am not sure what length is marked as "1"
Textbook's diagram recreated in Paint: http://i.imgur.com/FEwzP.png