Law of Sines and Cosines Review

Find the length of Side BC.

• 33

• 24

• 12

• 29

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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 (a)   miles from the fire. **will be a MC on the test**

Answer explanation

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

Answer explanation

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11