Soh Cah Toa Word Problem

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? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet 

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

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 the missing angle

• .6 degrees

• .9 degrees

• 36.9 degrees

• 53.1 degrees

Solve for the missing distance.

• 18.9

• 19.5

• 47.3

• 27.5

• 57.99
• 51.32
• 38.68
• 32.00

Solve for a.

• 56.44

• .47.68

• 33.56

• 35.99

Find the height(h)?

• 2000

• 50

• 500

• 1732.05

• 32.58
• 57.42
• 31.44
• 59.02

After traveling 400m from a runway, a plane is 300m above the ground. Calculate its angle of elevation.

• 50

• 0.053

• 36.9

• 95