Law of Cosines Word Problems

Choose which law you need to solve the problem (DO NOT SOLVE):

• Law of Sines

• Law of Cosines

• Both

• Neither

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

• 12.7

• 13.1

• 13.6

• 14.2

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

Find the missing side.

• 15.9 in.

• 22.8 in.

• 19.2 in.

• 521.1 in.

Find QR

• 34.7 km

• 2.2 km

• 13.74

• 31.1 km

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

Use Law of Cosines to find angle T

• 62.2°

• 53.1°

• 59.5°

• 64.7°