Applications of Law of Cosines

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

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CCSS.HSG.SRT.D.11

Find the length of side AC.

• 12

• 10

• 23

• 14

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Calculate the length of AC

• 30

• 24

• 27

• 35

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Solve for angle B if:

a = 4, b = 5, and c = 8.

• 59.2^o

• 125.1^o

• 30.8^o

• 24.1^o

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Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

• 152.7 feet

• 166.3 feet

• 157.3 feet

• 131.7 feet

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CCSS.HSG.SRT.D.11

Use the Law of Cosines to find the value of x. 

• 41.7

• 51.7

• 61.7

• 71.7

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CCSS.HSG.SRT.D.11

Joey 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

• 845.01

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What is the length of side x?

• 130 cm

• 112 cm

• 150 cm

• 105 cm

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve each triangle, round to the nearest tenth.

• A= 32,a= 11.2 b= 19.8

• A= 40 a= 11.2 b= 19.8

• A = 32 a= 12.2 b= 19.8

• A = 20 a= 11.3 b= 20.0

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve each triangle, round to the nearest tenth.

• angle H= 15°, f= 55.5, g= 64.5

• angle H= 113° f= 55.5, g= 64.5

• angle H= 53°, f= 64.5, g= 55.5

• angle H=15°, g= 65, f= 56

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11