Law of Sines and Cosine Matching Practice

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)

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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

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

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

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

Find the length of side AB. m<C = 53 degrees. m<B = 44 degrees. AC = 7.

• 8.0

• 8.8

• 9.2

• 10.3

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use to solve for side AC?

• Law of Sines

• Law of Cosines

• Newton's Laws

• SOHCAHTOA

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use to solve for Angle B?

• SOHCAHTOA

• Law of Cosines

• Laws of the Masked Singer

• Law of Sines

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the measure of angle A? BC = 37 cm, AB = 29 cm and m<C = 50 degrees.

• 70.7 degrees

• 74.5 degrees

• 77.8 degrees

• 80.2 degrees

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the distance across the river? The two sides are 4.15 miles and 5.33 miles. The included angle measure is 37 degrees.

• 2.9 miles

• 3.2 miles

• 3.6 miles

• 3.9 miles

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11