Geometry
Worksheet
Nome
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Date
- Trig Ratios in Right Triangles
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'For each of the following, write the equation to find the missing value. Then rewrite the equc+ion that you will
enter in our calculator. Round our final answer to the nearest tenth.
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11. How tall is the tree?
12. A man who is 6 feet tall is flying a kite. The kite
string is 75 feet long. If the angle that the kite
string makes with the line horizontal to the ground is
35°, how far above the ground is the kite? 4 q. 0
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13. A ladder 14 feet long rests against the side ofa building. Thebase of the ladder rests on level ground
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from the side of the bui lding. What angle does the lade' form with the ground?
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14. A 24-foot ladder leaning against a building forms an 18° angle with the side of the building.
is the base of the ladder from the base of the building?
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15. A road rises 10 feet for every 400 feet along the pavement.
road forms with the horizont~!?
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16. A 32- foot ladder leaning against a building touches the side of the building 26 feet above the ground.
What is the measurement of the angle formed by the ladder and the ground?
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. 17. The directions for the use of a ladder recommend that for maximum safety the ladder: should be
placed against a wall at a 75° angle with the ground. If the ladder is 14 feet long, how far from the
wall should the base of the ladder be place?'
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The string is,40 feet long and makes a 33° with
Supposing that the ground is level, find the vertical distance from the ground to the kite.
,18. A kite s held by a taut string pegged to the ground.
the ground.
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pole 15 feet from the.base of the pole. What angle does the wire makewith the ground?
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20. A jet airplane begins a steady climb of 15° and flies for two ground miles. What was its change in
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