Application of Trig Ratios

Find the measure of the indicated angle.

• 9.39

• 55.2

• 20.2

• 19.4

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 

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

• 12.4 ft

• 11.3 ft

• 22.3 ft

• 49.1 ft

• 24/32
• 32/24
• 32/40
• 24/40

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

• .4706

• .875

• .8824

• .5333

Find the measure of the smallest angle in a right triangle with sides measuring 9, 12, and 15.

• 43^o

• 35^o

• 53^o

• 37^o

• 27/36
• 27/45
• 45/36
• 45/27

Choose the correct ratio.

• sinZ=5/13

• sinX=5/13

• cosX=13/12

• tanZ=12/5

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