It is difficult to see the picture of the problem. The question is "What are the lengths of AC and AB?" What is given is a right triangle, ABC. Angle B is 30 degrees and BC is 7.0 distance.
The way I solved it was by using the properties of a 30 60 90 degree triangle which I learned from a unit circle. The segment opposite the 30 degree angle is 1/2 the distance of the hypotenuse. And the segment opposite the 60 degree angle is square root of 3 times the length of the side opposite 30 degrees. (I think that's correct). I got it right.
Though, I originally tried to solve the problem though using an equation using proportions. I figured: Alright 90 degrees over 7.0 is proportionate to 30 degrees over x. Thus: 90/7 = 30/x and I solved it. However, I did not arrive at the correct answers. Can someone help me understand why this does not work? Thanks, Paige