Question

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

Answer 1

Question 5

The remaining interior angle is
`135^(\circ)`.

`(x)/(\sin 19^(\circ))=(32)/(\sin 135^(\circ))\\ \\ x=(32 \sin 19^(\circ))/(\sin 135^(\circ)) \\ \\ x \approx 14.7`

Question 6

The remaining interior angle is
`27^(\circ)`.

`(x)/(\sin 27^(\circ))=(28)/(\sin 75^(\circ))\\\\x=(28\sin 27^(\circ))/(\sin 75^(\circ))\\\\x \approx 13.2`

Question 7

The remaining interior angle is
`59^(\circ)`.

`(x)/(\sin 59^(\circ))=(9)/(\sin 70^(\circ))\\\\x=(9\sin 59^(\circ))/(\sin 70^(\circ))\\\\x \approx 8.2`

Question 8

The remaining interior angle is
`95^(\circ)`.

`(x)/(\sin 33^(\circ))=(16)/(\sin 95^(\circ))\\\\x=(16 \sin 33^(\circ))/(\sin 95^(\circ))\\\\x \approx 8.7`