Sine and Cosine Applications

What is the length of side x?

• 130 cm
• 112 cm
• 150 cm
• 105 cm

What is the measure of angle A?

• 50 degrees
• 60 degrees
• 78 degrees
• 74 degrees

Find AB

• 10
• 8
• 6.1
• 4.9

Find angle A

• 53.6
• 13.3
• 113.1

Use the Law of Cosines to find the value of x. 

• 41.7
• 51.7
• 61.7
• 71.7

Solve each triangle, round to the nearest tenth.

• A= 32,a= 11.2 b= 19.8
• A= 40 a= 11.2 b= 19.8
• A = 32 a= 12.2 b= 19.8
• A = 20 a= 11.3 b= 20.0

Solve each triangle, round to the nearest tenth.

• angle H= 15°, f= 55.5, g= 64.5
• angle H= 113° f= 55.5, g= 64.5
• angle H= 53°, f= 64.5, g= 55.5
• angle H=15°, g= 65, f= 56

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.   Which of these is nearest to the height of the lighthouse? 

• 25 feet
• 44 feet 
• 81 feet 
• 185 feet 

Joey 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

• 845.01

To approximate the length of a marsh, a surveyor walks 425 meters from point A to point B. Then the surveyor turns 65º and walks 300 meters to point C. Approximate the length AC of the marsh.

• 250

• 615

• 330

• 333