Law of Sines and Cosines

Which of the following formulas shows the Law of Cosines?

• c² = a² + b² - 4ac + cosA
• c² = a² - b² - 2abcosC
• c² = a² + b² - 2abcosC
• (cos A)/a = (cos B)/b

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use?

• Law of Sines
• Law of Cosines
• Law of the Jungle
• Law of Gravity

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the measure of angle A?

• 50 degrees
• 60 degrees
• 78 degrees
• 74 degrees

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Based on the given information determine the number of unique triangles that may exist.
A= 37°, a=8, b=14

• 1 Triangle
• 2 Triangles
• No Triangles
• 3 Triangles

Tags

CCSS.7.G.A.2

Based on the given information determine the number of unique triangles that may exist.
B= 70°, b=85, c=88

• 1 Triangle
• 2 Triangles
• No Triangles
• 3 Triangles

Tags

CCSS.7.G.A.2

Use Law of Cosines to find XZ

• 16.004 meters
• 544.165 meters
• 34.7 meters
• 1204.165 meters

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Jack is flying his kite.  He runs 100 feet away from his house and lets out 75 feet of string.  The angle of elevation from the ground to the kite is 65 degrees.  How far away is the kite from the house?

• 9285.73 ft
• 96.36 ft
• 24061.81 ft
• 155.12 ft

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them.  The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63.  How far away is the bird from Amanda?

• 25.23
• 23.19
• 22.15
• 20.85

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Calculate the length of AC

• 30
• 24
• 27
• 35

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

find X

• 52
• 33
• 41
• 29

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11