Law of Cosines and Sines

Use the Law of Cosines to find the measure of angle x. The side lengths shown are 25, 32 and 37. <x is opposite the 25 length side.

• 38.5^o

• 41.7^o

• 45.1^o

• 51.3^o

Which Law would you use to find side length BC?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• SOHCAHTOA

Identify the Law of Sines

• Sin²x + Cos²x =1

• Sin(A)/a = Sin(B)/b = Sin(C)/c

• Sin(A)Sin(B)Sin(C) = 1

• Soh-Cah-Toa

What is the length of side x? x is opposite a 28 degree angle. 14 cm is the side length given.

• 6.57 cm

• 7.05 cm

• 7.44 cm

• 8.33 cm

What is the length of side x?

• 130 cm

• 112 cm

• 150 cm

• 105 cm

To approximate the length of a marsh, a surveyor walks 425 meters from point A to point B. Then the surveyor turns 65º and walks 300 meters to point C. Approximate the length AC of the marsh.

• 250

• 615

• :)

• Not me

What is the measure of angle A?

• 50 degrees

• 60 degrees

• 78 degrees

• 74 degrees

Find angle A

• 53.6

• 13.3

• 113.1

Find angle Z

• 18.77°

• 71.23°

• 51.06°

• 57.71°

Find the missing side.

• 15.9 in.

• 22.8 in.

• 6.54 in.

• 521.1 in.