Law of Sines and Cosine

Identify the Law of Sines

• Sin²x + Cos²x =1

• Sin(A)/a = Sin(B)/b = Sin(C)/c

• Sin(A)Sin(B)Sin(C) = 1

• y=Sin(x)

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

Tags

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

What are the possible criteria for the Law of Cosines?

• SSA, SSS

• SSA, ASA

• SSS, SAS

• AAS, ASA

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find m<B to the nearest whole number.

• A

• B

• C

• D

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which equation shows how you would use the law of sines to find side c?

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find AB

• 10

• 8

• 6.1

• 4.9

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

solve the triangle:
A=65 C=65 a=12

• B=50, b=9.9, c=12

• B=50, b=10.1, c=12

• B=70, b=12.8, c=12

• B=40 b=11.2, c=12

Tags

CCSS.HSG.SRT.C.8

Which equation shows how you would use the law of sines to find angle A?

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11