Question

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

Answer 1

Question 10

`(\sin x)/(7)=(\sin 85^(\circ))/(8)\\\\\sin x=(7\sin 85^(\circ))/(8)\\\\x \approx 60.7^(\circ), 119.3^(\circ)`

However, the second case does not satisfy the angle sum of a triangle, so
`x \approx 60.7^(\circ)`.

Question 12

`(\sin x)/(19)=(\sin 34^(\circ))/(12)\\\\\sin x=(19\sin 34^(\circ))/(12)\\ \\ x \approx 62.3^(\circ), 117.7^(\circ)`

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