Question

Directions: Use the Law of Sines to find each missing side or angle. Round to the nearest tenth.

Answer 1

Question 9

`(\sin x)/(23)=(\sin 27^(\circ))/(11)\\\\\sin x=(23\sin 27^(\circ))/(11)\\\\x \approx 71.7^(\circ), 108.3^(\circ)`

Both of these cases satisfy the angle sum of a triangle.

Question 11

`(\sin x)/(27)=(\sin 74^(\circ))/(26)\\\\\sin x=(27 \sin 74^(\circ))/(26)\\\\x \approx 86.6^(\circ), 93.4^(\circ)`

Both of these cases satisfy the angle sum of a triangle.