Extra Practice Word Problems

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Extra Practice Word Problems
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1. A lighthouse casts a 400 foot light on a
sailboat. The angle of depression of the light is
54 degrees. Find the height of the lighthouse.
323.61 feet
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2. A squirrel is 60 feet away from a 155 foot
pine tree. What is the squirrels angle of
elevation to the top of the tree?
68.84o
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3. The angle of elevation from a cat looking to
the roof of a barn is 36 degrees. The height of
the barn is 220 feet- how far is the cat from the
house?
302.80 feet
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4. A 90 foot ladder leans against a 50 foot wall.
Find the angle the ladder makes with the wall.
56.25o
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5. A surveyor spots the roof of a house that is
200 feet high. The sight distance from the
surveyor to the house is 5,000 feet. Find the
angle of elevation of the surveyor with the
house.
2.39o
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• 6. A bird sits on top of a lamppost. The angle of
  depression from the bird to the feet of an
  observer standing away from the lamppost is 31
  degrees. The distance from the bird to the
  observer is 25 meters. How tall is the lamppost?

12.88 meters
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7. Label whether the problems below involve an
angle of depression or an angle of elevation.

• A. A tourist looks at the top of the Eiffel Tower
• B. A flying helicopter looks at a landing pad
• C. A flying bird looks at a worm on the ground.
• D. A lighthouse light shining on a boat in the
  water.
• E. A surveyor looks at the top of a tree.
• F. A student gazes at the flag on a flagpole.

EDDDEE
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8. Find x and y in the diagram.
X 10 y