Finding a Missing Side Using Trigonometric Ratios

A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6
• 6.0
• 14.8
• 13.6

Sally the squirrel is looking at a tree that is 100 feet away. If the angle of elevation between Sally and the top of the tree is 23, how tall is the tree?

• 42.4474 ft
• 235.5852 ft
• 0.0042 ft
• 39.0731 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 nearest to the height of the lighthouse? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet 

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

From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the height of the dam to the nearest meter. 

• 185.18 meters
• 523.55 meters
• 220.80 meters
• 624.27 meters

The ladder represents

• The hypotenuse

• The adjacent side

• The opposite side

• The angle of elevation

The distance represented by the person and the base of the tree is

• AB

• BC

• AC

• angle A

Jake built a skateboard ramp that covers a horizontal distance of 10 ft.  The ramp rises a total of 3.5 ft.  What angle does the ramp make with the ground? Round to the nearest degree.

• 19 degrees
• 20 degrees
• 28 degrees
• 35 degrees

• 27/36
• 27/45
• 45/36
• 45/27

Give the Ratio for TAN X

• Adj/Opp
• Opp/Adj
• Adj/Hyp
• Opp/Hyp