Applications of Sine

Solve for the missing distance

• 18.9 meters

• 19.5 meters

• 47.2 meters

• 27.5 meters

The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the _____________

• Sine

• Cosine

• Tangent

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft

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 

What is the length of side x?

• 130 cm

• 112 cm

• 150 cm

• 105 cm

Find AB

• 10

• 8

• 6.1

• 4.9

Find angle A

• 53.6

• 13.3

• 113.1

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

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

Find h₁

• 6.69 ft

• 11.11 ft

• 9.00 ft

• 7.43 ft