Free Printable Law of Cosine

1.

Find QR

a)

34.7 km

b)

2.2 km

c)

13.74

d)

31.1 km

2.

Find XZ

a)

16.004 meters

b)

544.165 meters

c)

34.7 meters

d)

1204.165 meters

3.

Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle. To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings. How far apart should the footings for each A-frame be?

a)

5.461 feet

b)

9.743 feet

c)

6 feet

d)

7.65 feet

4.

Find BC

a)

A

b)

B

c)

C

d)

D

5.

Which of the following formulas shows the Law of Cosines?

a)

$c^2=a^2+b^2-4ac+\cos\left(A\right)$

b)

$c^2=a^2-b^2-2ab\cos\left(C\right)$

c)

$c^2=a^2+b^2-2ab\cos\left(C\right)$

d)

$\frac{\cos\left(A\right)}{a}=\frac{\cos\left(B\right)}{b}=\frac{\cos\left(C\right)}{c}$

6.

Find angle Z

a)

$20.145\degree$

b)

$71.232\degree$

c)

$51.055\degree$

d)

$57.713\degree$

7.

Use Law of Cosines to find angle T

a)

$62.2\degree$

b)

$53.1\degree$

c)

$59.5\degree$

d)

$64.7\degree$

8.

Use Law of Cosines to find XZ.

a)

16.004 meters

b)

544.165 meters

c)

34.7 meters

d)

1204.165 meters

9.

What is the length of side x?

a)

130 cm

b)

112 cm

c)

150 cm

d)

105 cm

Law of Cosine

Total questions: 9

Worksheet time: 2hrs 15mins

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