Solving Triangles Law of Sines and Cosines

Use the Law of Sines to find the value of x to the nearest tenth.

• 3, 6√3

• 3√3, 6

• 3, 6

• 2√3, 4√3

Emma and Alyssa are 20 miles apart and spot a UFO in the sky between them. The angle of elevation from Emma to the UFO is 15^o, and from Alyssa to the UFO is 35^o (see diagram). How far away is the UFO from Emma?

• 6.76 mi

• 12.36 mi

• 14.98 mi

• 17.59 mi

Mr. Creole must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 4.15 miles from point A and 5.33 miles from Point B. He measures the angle ACB to be 37^o. Find the distance from point A to point B.

• 3.72 miles

• 6.18 miles

• 10.30 miles

• 3.21 miles

Find the exact area of the triangle

• 13.9 in²

• 13.8 in²

• 14.0 in²

• 27.9 in²

• 12.7

• 13.1

• 13.6

• 14.2

Find the length of side AB.

• 10

• 8

• 6.1

• 4.9

Would you use the Law of Sines or the Law of Cosines?

• Law of Sines

• Law of Cosines

Would you use the Law of Sines

or the Law of Cosines?

• Law of Sines

• Law of Cosines

What is the measure of a?

• 3

• 3√3

• 6

• 3√2