Question

Can someone help me plzz!

Answer 1

126.6

Option A is the right option.

Explanation:

Sum of angles in triangle= 180°

`85 + 53 + m < a = 180 \\ or \: 138 + m < a = 180 \\ or \:m < a = 180 - 138 \\ m < a = 42`

Applying sine rule:

`(sin \: a \: )/(a) = (sin \: b)/(b) = (sin \: c)/(c) \\ (sin \: b)/(b) = (sin \: c)/(c) \\ (sin \: (85))/(b) = (sin(42))/(85) \\ 85 \: sin \: (85) = \: b \: sin \: (42) \\ b = (85 \: sin \: (85))/(sin \: 42) \\ ac = 126.6`

Hope this helps....

Good luck on your assignment...