Trigonometry
Applications
Remember your steps. Round lengths to the nearest tenth and angles to the nearest degree.
Step 1: Draw a picture
Step 4: Set up equation
Angle of depression - going down
Step 2: Label picture
Step 5: Solve
Angle of elevation - going up
Step 3: Pick the best trig ratio
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What is the angle of elevation if you stand 850 feet away from a cliff that is 400 feet high and look at
the top?
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A kite is nying at an angle of 63° with the ground. If all 250 feet of string are out, and there is no sag in
the string, how high is the kite?
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t1 3. Tal's hill at Minute Maid Park has an elevation ofJO°. If the hill has a six foot vertical rise, how long is
its hypotenuse?
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4. A 30 foot tree broke from its base and fell against a house. If the tree touches the house at 21 feet, what
angle is the tree forming with the house?
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5. A tree casts a shadow 01'28 m. The elevation of the sun is 49°. How tall is the tree?
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6. Joey is putting up an antenna. At the 30 foot mark, he attaches a 50 toot guy wire. What angle does the
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7. A freeway entrance ramp has an elevation of 15°. If the vertical lift is 22 feet, what is the distance up
the ramp?
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8. A person at the top of a clifT 100 feet tali sees Gilligan's boat. His sighting of the boat is at an angle of
depression of 10°. How far is the boat from the base of the cliff?
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9. A 24 foot ladder is placed against a wall at 55° with the ground. How far away from the wall is the bas
of the ladder?
10. A 32 in, bat is leaning against a fence. If the bat is 15 in, away from the base of the fence, what anr'-formed between the ground and the bat?
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11. Rosalinda has a rocket that can travel 1500 feet before exploding, On the 4th of July, she lights the
rocket at an elevation of 75°. How high will the rocket be when it explodes?
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12. A plane takes otT at an elevation of 20°. In its path is the tower of 170 feet. If the plane at takeo[f is 5.00
feet away from the tower, will it clear the tower? If yes, by how much?
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13. Ana knows that she is one mile from the base of a tower. Using a protractor she estlITfIT~scm-an~
elevation to be 3 0. How tall is.t.he tower to the nearest foot? (1 mile =. 5280..feet\
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