Applications of Right Triangle

• 46.82 m

• 0.9 m

• 1.11 m

• 57.75 m

• 12 m

• 11 m

• 10 m

• 13 m

Which trigonometric function would you use to find "h", the height of the tree?

• sine

• cosine

• tangent

• none of these

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

• Sine

• Cosine

• Tangent

• Cotangent

• Cocosine

• 20 metres

• 40 metres

• 28.28 metres

• 14.14 metres

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. What trig function would you use to determine how the top of the statue is from the end of its shadow?

• Sine

• Cosine

• Tangent

• Cotangent

• Cocosine

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 

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

Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52 degrees. Which below is closest to the height, h, of the flagpole?

• 31.5 feet

• 24.6 feet

• 51.2 feet

• 57.4 feet