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Laws of Sines and Cosines

Total questions: 11

Worksheet time: 57mins

Name
Class
Date
1.

Which Law would you use to find side length BC?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

SOHCAHTOA

2.

Which Law would you use to solve for Angle B?

a)

SOHCAHTOA

b)

Law of Cosines

c)

Laws of the Masked Singer

d)

Law of Sines

3.
Which of the following formulas shows the Law of Cosines?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
4.

Which Law would you use to solve for side AC?

a)

Law of Sines

b)

Law of Cosines

c)

Newton's Laws

d)

SOHCAHTOA

5.

What is the distance across the river? The two sides are 4.15 miles and 5.33 miles. The included angle measure is 37 degrees.

a)

2.9 miles

b)

3.2 miles

c)

3.6 miles

d)

3.9 miles

6.

Use the Law of Cosines to find the measure of angle x. The side lengths shown are 25, 32 and 37. <x is opposite the 25 length side.

a)

38.5o

b)

41.7o

c)

45.1o

d)

51.3o

7.

What is the length of side x? x is opposite a 28 degree angle. 14 cm is the side length given.

a)

6.57 cm

b)

7.05 cm

c)

7.44 cm

d)

8.33 cm

8.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
9.
What is the length of side x?
a)
130 cm
b)
112 cm
c)
150 cm
d)
105 cm
10.
a)

7.4

b)

8.2

c)

8.8

d)

9.5

11.
a)

34.5

b)

36.1

c)

38.7

d)

40.4