Trig Grade 11 Question

[katec28]

DIAGRAM NOT TO SCALE (at all)


I recently had this question in a math test and hardly anyone could get it but we are yet to get an explanation so I'd love to know how to figure it out. I am not certain that the angles are in the correct location. I don’t quite remember where they were which I understand might make it hard to answer the question, so apologies. The diagram may look like it has parallel lines - THERE ARE NONE (unless you prove otherwise, but the diagram we were given did not show any parallel lines so sorry if the diagram I drew looks like there is).

I have found that the hypotenuse of the right angle triangle is sqrt 24, but I have no idea what to do with that,

If it's any help, the test is based around applying Sine Rule and Cosine Rule.

Thanks

 

[blamocur]

Looks like your recollection of the problem statement is rather incomplete. Can you find the exact text of the problem?

 

[katec28]

Hi, yep I missed quite a bit in the diagram as it was from memory, but we've gone through it in class but I will still post it in case you are interested:
sorry i cannot delete the original post