Question

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

Answer 1

Question 14

`(\sin x)/(26)=(\sin 49^(\circ))/(25)\\\\\sin x=(26\sin 49^(\circ))/(25)\\\\x \approx 51.7^(\circ), 128.3^(\circ)`

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

Question 16

`(\sin x)/(8)=(\sin 105^(\circ))/(11)\\\\\sin x=(8 \sin 105^(\circ))/(11)\\\\x \approx 44.6^(\circ), 135.4^(\circ)`

However, the second case exceeds the angle sum of a triangle, so
`x \approx 44.6^(\circ)`.