Law of Sines and Cosines AP

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

• 41.7

• 51.7

• 61.7

• 71.7

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?

• 25.23

• 23.19

• 22.15

• 20.85

Find the length of side AB. m<C = 53 degrees. m<B = 44 degrees. AC = 7.

• 8.0

• 8.8

• 9.2

• 10.3

Which Law would you use to find side length BC?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• SOHCAHTOA

What is the measure of angle A? BC = 37 cm, AB = 29 cm and m<C = 50 degrees.

• 70.7 degrees

• 74.5 degrees

• 77.8 degrees

• 80.2 degrees

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.

• 2.9 miles

• 3.2 miles

• 3.6 miles

• 3.9 miles

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.

• 38.5^o

• 41.7^o

• 45.1^o

• 51.3^o

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

• 6.57 cm

• 7.05 cm

• 7.44 cm

• 8.33 cm

• A
• B
• C
• D

• A
• B
• C
• D