How do I solve this law of sines question? 16(sin x) = (sin 110)9

There is a triangle and x approximately = 31.9 but I’m not sure how to solve past16(sin x) = (sin 110)9

1 Answer
Mar 15, 2018

You are very close, see below...

Explanation:

#16(sin x) = (sin 110°)9#
Divide by 16 on both sides:
#(sin x) = ((sin 110°)9)/16#
Inverse trigonometry:
#x = arcsin(((sin 110°)9)/16)#
or
#x = sin^(-1)(((sin 110°)9)/16)#