Trig Ratios and Applications

Solve for the missing distance

• 18.9 meters

• 19.5 meters

• 47.2 meters

• 27.5 meters

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.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 23 feet
• 43 feet 
• 110 feet 
• 135 feet 

Solve for the missing angle

• 50.5 degrees
• 12.7 degrees
• 36.9 degrees
• 72.2 degrees

Solve for x.

• 24.20
• 4.92
• 290.4
• 29.75

Find the sin(Z)

• 24/32

• 32/24

• 32/40

• 24/40

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

Solve for x.

• 8.4

• 11.2

• 10.5

• 23.3

Find x round to the nearest tenth.

• 46.1
• 4.9
• 16.4
• 26.9

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

The boat is 58 feet away from the lighthouse. The lighthouse is 25 feet tall. What is the angle of elevation to the top of the lighthouse, as viewed from the boat?

• 47^o

• 23^o

• 67^o

• 180^o