Law of Sines and Cosines AP

8.Solve for x

• 3.85

• 4.25

• 3.35

• 5.65

Solve for a.

• 28

• 56

• 3.22

• 9.45

10.Solve for Beta

• 45.2

• 26.3

• 36.3

• 56.2

Parker must find the distance from Point A to Point B on opposite sides of a lake.  He locates Point C that is 860 feet from point A and 175 feet from Point B.  He measures the angle at Point C to be 78 degrees.  Find the distance from point A to point B.

• 707643.58

• 841.22

• 877.62

• 842.01

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

Based on the given information determine the number of unique triangles that may exist.
J = 98°, j = 29, p = 6

• 1 Triangle

• 2 Triangles

• No Triangles

• 3 Triangles

Based on the given information determine the number of unique triangles that may exist.
A= 37°, a=8, b=14

• Triangle

• Triangles

• No Triangles

• Triangles

Based on the given information determine the number of unique triangles that may exist.
B= 70°, b=85, c=88

• Triangle

• Triangles

• No Triangles

• Triangles

Use Law of Cosines to find XZ

• 16.004 meters

• 544.165 meters

• 34.7 meters

• 1204.165 meters

A triangle with two sides that measure 6 m and 8 m with an included angle of 137°. (Creates SAS)

• 17.8m

• 14.6m

• 13.0m

• 12.9m