Applications of Laws of Sines and Cosines

Solve for angle B if:

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

• 59.2^o

• 125.1^o

• 30.8^o

• 24.1^o

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

• 152.7 feet

• 166.3 feet

• 157.3 feet

• 131.7 feet

How Many Triangles would be possible?

• 2

• 1

• 0

• INFINITE

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

Find: a

β = 70°

c = 11

α = 40°

• 11

• 7.5

• 70

• 8

Find alpha

• 53.6

• 13.3

• 113.1

• 78.2

8.Solve for x

• 3.85

• 4.25

• 3.35

• 5.65

9.Solve for a.

• 4.28

• 8.56

• 3.22

• 9.45

Solve for Beta

• 45.2

• 26.3

• 36.3

• 56.2

Find the length of side AB.

• 10

• 8

• 6.1

• 4.9