Trigonometry problem

[chijioke]

Good morning everyone.
I am trying to find the marked sides. Please help me confirm if my solutions are true also if solved problem well.

 

[Dr.Peterson]

That looks correct. There are, of course, several other ways you could have solved it.

Is there a reason you were not sure?

 

[chijioke]

That looks correct. There are, of course, several other ways you could have solved it.

Is there a reason you were not sure?

 

[chijioke]

1 think I used the cosine ratios wrongly. It should be CAH and not CHA when I was trying to compute for m in the first work I posted. But by main looking m should be more than y, not the same as y because that would be impossible in real life.