Law of Cosines and Sines

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

In triangle ABC, find side a if:

B=70 degrees A=40 degrees and c=11

• 11

• 7.5

• 70

• 8

Solve for angle B if:

a = 4, b = 5, and c = 8.

• 59.2^o

• 125.1^o

• 30.8^o

• 24.1^o

In ΔABC, B = 45^o, a = 28 and b = 27. Find all possible values for Angle A

• 47.2° only

• 47.2° and 132.8°

• 47.2° and 87.8°

• 47.2° and 137.2°

In triangle ABC A = 42°, a = 10, b = 13. Find all possible values for side c. This problem has several steps.

• c = 77.56 and c=18.44

• c = 77.56

• c = 14.59 and c=4.73

• c = 14.59

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

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

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?

• 25.23

• 23.19

• 22.15

• 20.85