Law of sines, cosines and area

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

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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

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

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 degrees, and from Jamie to the bird is 63 degrees. How far away, to 2 decimal places, is the bird from Amanda?

• 25.23 ft

• 23.19 ft

• 22.15 ft

• 20.85 ft

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• A

• B

• C

• D

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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

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

How many triangles can you make if A=53, b=6, and a=5?

• 0
• 1
• 2
• Infinitely many

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If the sides of a triangle are 12,5, and 2. What is the area?

• 12

• 40.65

• 19

• This triangle does not exist

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CCSS.HSG.SRT.D.9

Find the length of side AB.

• 10

• 8

• 6.1

• 4.9

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the area of this triangle to three decimal places?

• 14.494 meters squared

• 108.184 meters squared

• 54.092 meters squared

• 54.350 meters squared

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CCSS.HSG.SRT.D.9