Law of Sines and Cosines and Area

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

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

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

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

• a

• b

• c

• d

Tags

CCSS.6.G.A.1

To find the area of the triangle shown, which set up would work?

• I can use either of the two equations shown

• Neither equation would work

Tags

CCSS.HSG.SRT.D.9

To approximate the length of a marsh, a surveyor walks 425 meters from point A to point B. Then the surveyor turns 65º and walks 300 meters to point C. Approximate the length AC of the marsh.

• 250

• 615

• :)

• Not me

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the area to the nearest tenth

(a)  

Tags

CCSS.HSG.SRT.D.9

Find angle C

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find side BC

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11