Solving Using Law of Sines and Cosines

Calculate the length of AC using the Law of Sines

• 30

• 24

• 27

• 35

Find the missing side x

• 6.39cm

• 12.7cm

• 7.31cm

• 8.13cm

Solve the following triangle:

3

• A

• B

• C

• D

Would you use the Law of Sines or the Law of Cosines first?

• Law of Sines

• Law of Cosines

Solve the triangle. Round all angle values to the nearest whole degree.

• m∠M = 27, m∠N = 98, and n = 32.7

• m∠M = 31, m∠N = 94, and n = 31.8

• m∠M = 27, m∠N = 98, and n = 31.8

• m∠M = 31, m∠N = 94, and n = 32.7

Solve using the Law of Cosines

• 21

• 38

• 27

• 40

Which tool can be used to solve for the missing angle?

• Law of Sines

• Law of Cosines

• Sine, Cosine or Tangent

• cannot be solved with given information

The line of sight from a small boat to the light at the

top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff?

• 141 ft.

• 129 ft.

• 75 ft.

• 27 ft.