Law of Sines and Cosines Review

Find the length of Side BC.

• 33

• 24

• 12

• 29

Determine if AAS, ASA, SSA, SAS, or SSS is given and decide if the law of sines or the law of cosines should be used to solve the triangle:

B, c, b

• SSA: Law of Cosines

• SAS: Law of Sines

• SAS: Law of Cosines

• SSA: Law of Sines

Answer explanation

Solve the triangle. Find angles to the nearest hundredth of a degree.

a = 163 yd,

b = 185 yd,

c = 323 yd

• A = 20.44°,

  B = 11.68°,

  C = 147.88°

• no triangle

• A = 20.44°,

  B = 23.35°,

  C = 136.21°

• A = 23.35°,

  B = 20.44°,

  C = 136.21°

Answer explanation

Fire towers A and B are located 10 miles apart. They use the direction of the other tower as 0°. Rangers at fire tower A spots a fire at 42°, and rangers at fire tower B spot the same fire at 64°. How far from tower A is the fire to the nearest tenth of a mile? Tower A is _________ miles from the fire. **will be a MC on the test**

Answer explanation

Determine if AAS, ASA, SSA, SAS, or SSS is given and decide if the law of sines or the law of cosines should be used to solve the triangle:

c, a, b

• SAS: Law of Cosines

• SSS: Law of Sines

• SSS: Law of Cosines

• SAS: Law of Sines

Answer explanation

Determine if AAS, ASA, SSA, SAS, or SSS is given and decide if the law of sines or the law of cosines should be used to solve the triangle:

• AAS: Law of Cosines

• ASA: Law of Sines

• ASA: Law of Cosines

• AAS: Law of Sines

Answer explanation

To find the distance AB across a river, a distance BC of 359 m is laid off on one side of the river. It is found that B = 103.9° and C = 17.4°. Find AB.

• 129 m

• 105 m

• 108 m

• 126 m

Answer explanation

Solve the triangle

• C = 45°,

  a = 25.32,

  c = 19.87

• C = 40°,

  a = 25.32,

  c = 19.87

• C = 40°,

  a = 19.87,

  c = 25.32

• C = 35°,

  a = 19.87,

  c = 25.32

Answer explanation

Find the missing parts of the triangle:

A = 30.0° a = 23.75 b = 47.5

• No Solution

• B = 60.0°,

  C = 60.0°,

  c = 41.14

• B = 90.0°,

  C = 60.0°,

  c = 41.14

• B = 60.0°,

  C = 90.0°,

  c = 41.14

Answer explanation

Solve the triangle. Round values to the nearest tenth if necessary.

Answer explanation