Geom Quiz 5.2 Problem Solving with Trig

Solve for the missing distance.

• 18.9

• 19.5

• 47

• 27.5

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

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 closest to the height of the lighthouse? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat? 

• 11.1 ft. 

• 9 ft. 

• 7.4 ft. 

• 13.8 ft. 

Find the value of the trig ratio 

 $\cos\ 85\degree$  

• 0.087

• 0.08

• 0.1