Law of Sines & Cosines

Find the length of Side BC.

• 33

• 24

• 12

• 29

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the measure of angle A?

• 58 degrees
• 61 degrees
• 78 degrees
• 74 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use to solve for Angle B?

• Law of Cosines because it is SAS

• Law of Cosines because it is SSS

• Law of Sines because it is SSA

• Law of Sines because it is ASA

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use?

• Law of Sines because it is AAS

• Law of Cosines because it is SAS

• Law of Sines because it is SSA

• Law of Cosines because it is SSS

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use?

• Law of Sines because it is AAS

• Law of Cosines because it is SAS

• Law of Sines because it is ASA

• Law of Cosines because it is SSS

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which of the following formulas shows the Law of Cosines?

• $c^2=a^2+b^2-4ac+\cos A$
  

• $c^2=a^2-b^2-2ab\cos C$
  

• $c^2=a^2+b^2-2ab\cos C$
  

• $\frac{\cos A}{a}=\frac{\cos B}{b}$
  

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

Identify the Law of Sines

• $\sin^2x+\cos^2x=1$

• $\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$
  

• $Sin(A)Sin(B)Sin(C)=1$
  

• $a^2=b^2+c^2-2bc\cos A$
  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use the Law of Cosines to find the value of x.  (Level 1)

• 41.7
• 51.7
• 61.7
• 71.7

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11