It seems like you are equating ratios here, is this because you want to use similar triangles?
Are the triangles in this scenario actually similar?
A women entering an outside glass elevator on the ground floor of a hotel glances up to the top of the building across the street and notices that the angle of elevation is 48 degrees. She rides the elevator up 60 feet and finds the angle of elevation is 32 degrees. How tall is the building across the street?
is it 209 feet?
[x] / [sin(32)] = [x+60] / [sin(48)]
cross multiply and solve for x then add that to 60 to get the height, is that correct?
I'd use the law of sines to find the distance from the elevator bottom to the building top, then use the large right triangle to find the building height.
I get about 137' for the height.
btw ... did I say to make a sketch?