Quiz about Law of Sines & Cosines

Question 1

Find the length of Side BC.

Accepted Answer

33

Answer

24

Answer

12

Answer

29

Question 2

Find the length of side AB.

Accepted Answer

8

Answer

10

Answer

6.1

Answer

4.9

Question 3

What is the measure of angle A?

Accepted Answer

78 degrees

Answer

58 degrees

Answer

61 degrees

Answer

74 degrees

Question 4

Find the length of side AC.

Accepted Answer

14

Answer

12

Answer

10

Answer

23

Question 5

What is the measure of angle A?

Accepted Answer

78 degrees

Answer

50 degrees

Answer

60 degrees

Answer

74 degrees

Question 6

Which Law would you use to solve for Angle B?

Accepted Answer

Law of Cosines

Answer

Law of the Jungle

Answer

Law of the Gravity

Answer

Law of Sines

Question 7

Which Law would you use?

Accepted Answer

Law of Cosines

Answer

Law of Sines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 8

Which Law would you use?

Accepted Answer

Law of Sines

Answer

Law of Cosines

Answer

Law of the Jungle

Answer

Law of Gravity

Question 9

Which of the following formulas shows the Law of Cosines?

Accepted Answer

c² = a² + b² - 2abcosC

Answer

c² = a² + b² - 4ac + cosA

Answer

c² = a² - b² - 2abcosC

Answer

(cos A)/a = (cos B)/b

Question 10

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?

Accepted Answer

25.23

Answer

23.19

Answer

22.15

Answer

20.85

Question 11

Identify the Law of Sines

Accepted Answer

Sin(A)/a = Sin(B)/b = Sin(C)/c

Answer

Sin²x + Cos²x =1

Answer

Sin(A)Sin(B)Sin(C) = 1

Answer

Soh-Cah-Toa

Question 12

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?

Accepted Answer

131.7 feet

Answer

152.7 feet

Answer

166.3 feet

Answer

157.3 feet

Question 13

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

Accepted Answer

41.7

Answer

51.7

Answer

61.7

Answer

71.7

Question 14

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?

Accepted Answer

96.36 ft

Answer

9285.73 ft

Answer

24061.81 ft

Answer

155.12 ft

Question 15

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 degrees, and from Jamie to the bird is 63 degrees.  How far away is the bird from Amanda?

Accepted Answer

25.23

Answer

23.19

Answer

22.15

Answer

20.85

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