Law of Cosine - 11/06/23

Multiple Choice

What would be used to find the distance from the Ranger's Tower to the fire?

• Quadratic Formula
• Law of Cosines
• Law of Sines
• Trigonometric Ratios

Multiple Choice

What are the possible criteria for the Law of Cosines?

• SSA, SSS

• SSA, ASA

• SSS, SAS

• AAS, ASA

Multiple Choice

Which Law would you use?

• Law of Sines
• Law of Cosines
• Law of the Jungle
• Law of Gravity

Multiple Choice

$$m=$$  

• 12.7

• 13.1

• 13.6

• 14.2

Multiple Choice

Bob is measuring the width of a pond near his house. From point A, he walks 50 meters in the direction of point B. Then, he turns 70 degrees towards point C and walks 90 meters.

Find the width of the pond.

• 122.1 m

• 117.0 m

• 110.3 m

• 86.7 m

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Multiple Choice

In an effort to recover Abraham's lost cell phone, two cell towers stationed 6000 feet apart detect the signal from the phone. Using strength of signal, the west tower measures the phone to be 5050 feet away and the east tower detects the phone to be 2420 feet away (see diagram). What angle  $$\theta$$  should Abraham walk from the west tower to get to his phone?

• $$\theta=18.48\degree$$  

• $$\theta=23.33\degree$$  

• $$\theta=24.17\degree$$  

• $$\theta=27.91\degree$$  

Multiple Choice

Solve for Angles Q, R, P

• Q = 31 R = 27 P = 122

• Q = 31 R = 37 P = 112

• Q = 41 R = 17 P = 122

• Q = 31 R = 32 P = 117

Multiple Choice

Which Law would you use?

• Law of Sines
• Law of Cosines
• Law of the Jungle
• Law of Gravity

Multiple Choice

Which Law would you use?

• Law of Sines
• Law of Cosines
• Law of the Jungle
• Law of Gravity

Multiple Choice

What would be used to find the distance across the lake?

• Quadratic Formula
• Law of Cosines
• Law of Sines
• Trigonometric Ratios

Multiple Choice

What is the length of side x?

• 130 cm
• 112 cm
• 150 cm
• 105 cm

Multiple Choice

Which of the following formulas shows the Law of Cosines? #4

• c² = a² + b² - 4ac + cosA

• c² = a² - b² - 2abcosC

• c² = a² + b² - 2abcosC

• (cos A)/a = (cos B)/b

Multiple Choice

 What is the correct set up to find side p?

• $$p^2=16^2+19^2-2\left(16\right)\left(19\right)\cos48$$  

• $$p^2=16^2-19^2+2\left(16\right)\left(19\right)\sin48$$  

• $$p^{ }=16^{ }+19^{ }+2\left(16\right)\left(19\right)\cos48$$  

• $$16^2=p^2+19^2-5\left(16\right)\left(19\right)\cos48$$  

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