Sine and Cosine Application

Find h₁

• 6.69 ft

• 11.11 ft

• 9.00 ft

• 7.43 ft

In a right triangle, if the adjacent side is 4 units and the hypotenuse is 5 units, what is the cosine of the angle adjacent to the side?

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

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

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

• 41.7

• 51.7

• 61.7

• 71.7

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