Acourse for a skateboard race consists of a 200-meter downhill run and a 150-meter level portion. the angle of elevation from the finish line to the starting point of the race is 27.4°. find the angle θ the hill makes with the horizontal.

The third choice is the correct one. 
draw a line from the starting point on the hill to the finishing point, suppose the angel formed by this new line and the slope of the hill is x
sinx/150=sin27.4/200
sinx=(150*sin27.4)/200
x=sin-1[(150*sin27.4)/200]
the angle formed by the slope of the hill and the horizontal line is the sum of x and 27.4

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