Law of sines and cosines

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

Mr. Creole must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 4.15 miles from point A and 5.33 miles from Point B. He measures the angle ACB to be 37^o. Find the distance from point A to point B.

• 3.72 miles

• 6.18 miles

• 10.30 miles

• 3.21 miles

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

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

What is the measure of angle A?

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the length of side x?

• 130 cm
• 112 cm
• 150 cm
• 105 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What are the possible criteria for the Law of Cosines?

• SSA, SSS

• SSA, ASA

• SSS, SAS

• AAS, ASA

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What are the possible criteria for Law of Sines?

• SSA, ASA, AAS

• AAS, SSS, ASA

• SAS, SSS, ASA

• SAS, AAS, ASA

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve triangle ABC if A=40°, B=20°, a=2

• C=120°, b=1.06, c=2.69

• C=120°, b= 2.69, c=1.06

• C= 120°, b=2.68. c=3.26

• C=120°, b=3.26 c=2.68

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11