Introduction to Trigonometry and Law of Sines and Cosines

What is the area of this triangle to three decimal places?

• 14.494 meters squared

• 108.184 meters squared

• 54.092 meters squared

• 54.350 meters squared

Use Law of Cosines to find XZ

• 16.004 meters

• 544.165 meters

• 34.7 meters

• 1204.165 meters

Based on the given information determine the number of unique triangles that may exist.
A= 37°, a=8, b=14

• Triangle

• Triangles

• No Triangles

• Triangles

Based on the given information determine the number of unique triangles that may exist.
B= 70°, b=85, c=88

• Triangle

• Triangles

• No Triangles

• Triangles

What is the length of side x?

• 6.57 cm

• 7 cm

• 7.44 cm

• 26.33 cm

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?

• 9285.73 ft

• 96.36 ft

• 24061.81 ft

• 155.12 ft

Parker must find the distance from Point A to Point B on opposite sides of a lake.  He locates Point C that is 860 feet from point A and 175 feet from Point B.  He measures the angle at Point C to be 78 degrees.  Find the distance from point A to point B.

• 707643.58

• 841.22

• 877.62

• 842.01

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?

• 25.23

• 23.19

• 22.15

• 20.85

A triangle with two sides that measure 6 m and 8 m with an included angle of 137°. (Creates SAS)

• 17.8m

• 14.6m

• 13.0m

• 12.9m

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

• 8.0

• 8.8

• 9.2

• 10.3