Law of Sines/Cosines & Trig Equations

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

 Find $m\angle C$ 

• A

• B

• C

• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the length of side AB.

• 10

• 8

• 6.1

• 4.9

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

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

Jack is flying his kite.  He runs 100 feet away from his house and lets out 75 feet of string.  The angle of elevation from the ground to the kite is 65 degrees.  How far away is the kite from the house?

• 9285.73 ft
• 96.36 ft
• 24061.81 ft
• 155.12 ft

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Farmer Chuck Norris needs to enclose a triangular field along a river. One side of fencing is already in place, and Farmer Chuck has 40 feet of fence for the open side. How far away from point A (along the river) can Farmer Chuck put the fence? (Hint: this could be ambiguous case of law of sines so multiple answers could be possible)

• 23.4 feet

• 85.3 feet

• 39.3 feet

• 51.3 feet

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Joey must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 860 feet from point A and 175 feet from Point B. He measures the angle at Point C to be 78 degrees. Find the distance from point A to point B.

• 707643.58

• 841.22

• 877.62

• 845.01

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Solve $2\cos^2\theta+4=5$  on  $\left[0,\ 2\pi\right)$  

• θ = π /4, 7π /4

• θ = π /4, 3π /4

• θ = 3π /4, 5π /4

• θ = π /4, 3π /4, 5π /4, 7π /4

Tags

CCSS.HSF.TF.B.7

• A
• B
• C
• D

Tags

CCSS.HSF.TF.B.7