Question

Find x in this trigonometry question

Answer 1

`\tan 61=(y)/(10)\\ y=10\tan 61\\\\ \cos 55=(z)/(10 \tan 61)\\ z=10\tan 61\cos 55\\\\ \sin x=(10\tan 61\cos 55)/(12)\\ \sin x\approx(10\cdot1.8\cdot0.57)/(12)\\ \sin x\approx0.855\\ x\approx58.76^(\circ)`