3.

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13.

* Find the value of x for each figure. Round lengths of segments to the nearest tenth of a unit and angle measures to the nearest degree.

1.

2.

A rescue boat spots a lost hiker at the edge of a rock shelf. There is a fire behind the hiker that is moving quickly and there isn’t time to wait for the rescue helicopter. So the captain of the rescue boat decides to use the harpoon gun on board to shoot at the edge of the cliff and create a zipline for the hiker to escape to safety. How long must the rope be that is attached to the harpoon gun?

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Complete the Law of Sines Investigation

sin 𝐴 𝑎 = sin 𝐵 𝑏 = sin 𝐶 𝑐

This Law of Sines proportion allows us to solve problems involving non-right triangles.

* 𝑥 83° 15 𝑐𝑚 24° Find the value of x.

* An airplane is flying between two airports that are 35 miles apart. The radar in one airport registers a 27° angle between the horizontal and the airplane. The radar system in the other airport registers a 69° angle between the horizontal and the airplane. How far is the airplane from each airport, to the nearest tenth of a mile?

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Page 524 (1-5 all)

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Page 525 (6-10all,12,14,15)

Is there a unique triangle with the given angle and side measurements? How do you know?

Are we always going to be able to divide a non-right triangle into two right triangles?