Hello,

I've been doing pretty well so far into my Grade 11 Trigonometry unit. We've been covering the sine law and it all made perfect sense until we were assigned some word problems for home work. Now I'm struggling. I don't think they're too difficult if you know how to go about them properly. I think I'm just missing something. I was hoping I could post one (with the final answer) and maybe someone could solve it and show the steps?

Any help would be much appreciated. Below is the problem exactly as written in my textbook. No diagram or drawing is included with the problem; you are to come up with the diagram yourself. The textbook says final answer is 299.8 m.

Problem:

The Pont du Grand near Nimes, France, is a Roman aqueduct. An observer in a hot-air balloon some distance away from the aqueduct determines that the angle of depression to each end is 54° and 71°, respectively. The closest end of the aqueduct is 270.0 m from the balloon. Calculate the length of the aqueduct to the nearest tenth of a metre.

Thanks!