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Two-gonometry

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Hi

1. First of all, some problems from Anaya. Use your notebook for the calculations, and don’t forget to draw the triangles. It will help you a lot.

2. More problems. Solve them in your notebook, but send me at least one to my mail. USe Geogebra to make a drawing:

Name_________________________________ Trig Word Problems Worksheet
1. A boy flying a kite lets out 300 feet of string which makes an angle of 38º with the ground. Assuming
that the string is straight, how high above the ground is the kite?
2. A ladder leaning against the wall makes an angle of 74º with the ground. If the foot of the ladder is 6.5
feet from the wall, how high on the wall is the ladder?
3. A straight road to the top of a hill is 2500 feet long and makes an angle of 12º with the horizontal.
Find the height of the hill.
4. An airplane climbs at an angle of 11º with the ground. Find the ground distance it has traveled when
it has attained an altitude of 400 feet.
5. A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole and
makes an angle of 58º with the ground. Find the length of the wire.
6. Henry is flying a kite. The kite string makes an angle of 43º with the ground. If Henry is standing 100
feet from a point on the ground directly below the kite, find the length of the kite string.
7. A 25 foot ladder leans against a building. The ladder’s base is 13.5 feet from the building. Find the
angle which the ladder makes with the ground.
8. In order to reach the top of a hill which is 250 feet high, one must travel 2000 feet straight up a road
which leads to the top. Find the number of degrees contained in the angle which the road makes with the
horizontal.
9. A ladder leans against a building. The top of the ladder reaches a point on the building which is 18
feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle
which the ladder makes with the level ground.


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