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SineSine CosineCosine TangentTangent PythagoreanPythagoreanTheoremTheorem
Mixed WordMixed WordProblemsProblems(Regents)(Regents)
A ladder 10 feet long is leaning against a house making an angle of with the ground. Find to the nearest tenth of a foot how high up the house the ladder reaches?
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71
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An airplane is flying at an altitude of 3000 ft. The angle of depression of the airport ground signalMeasures . Find to the nearest foot the distanceBetween the airplane and the airport signal.
27
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Find the value of x to the nearest whole number
30cm
38x
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8’10’x
Find the value of x to the nearesttenth of a degree
A wire 3 meters in length, is attached from the top of a post to a stake in the ground. The wire makes a angle
with the ground. To the nearest hundredth of a meter, find the distance from the wire on the ground to the post.
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35
A child's slide is 9 meters long and is built over a horizontal distance of 6
meters along the ground. Find to the nearest degree the measure of the angle that the slide makes with the
ground.
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40 points
At a point on the ground 50 meters from the foot of a tree, the measure of the angle of
elevation of the top of the tree is . Find the height of the tree to the nearest meter.
48
Find to the nearest degree the measure of the angle of elevation of the sun when a woman 5foot
tall cast a 3 foot shadow
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50 points
A N S W E R:A N S W E R:
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10 points
222 cba The Pythagorean theorem is and it is used to find side lengths of a right triangle.
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30 points
The lengths of the sides of a triangle are 8, 15, and 17. Is this a right triangle?
If the length of the diagonal of a rectangle is 26 in and the length of its
base is 24 in, find the length of the altitude of the rectangle.
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40 points
The length of a rectangle is 7 feet more then its width. A diagonal of a rectangle measures
17 meters. Find the length and width of rectangle.
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50 points
The accompanying diagram shows a kite that has been secured to a stake in the
ground with a 20-foot string. The kite is located 12 feet from the ground, directly
over point X. What is the distance, in feet, between the stake and point X?
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10 points
Find, to the nearest tenth of a foot, the height of the tree represented in the accompanying diagram.
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20 points
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An airplane is climbing at an angle of 11° with the ground. Find, to the nearest foot, the distance the airplane has traveled when it has attained an altitude of 400 feet.
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30 points
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A 10-foot ladder is to be placed against the side of a building. The base of the ladder must be placed at an angle of 72° with the level ground for a secure footing. Find, to the nearest tenth of a foot, how far the base of the
ladder should be from the side of the building
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40 points
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50 pointsThe accompanying diagram shows a flagpole that stands on level ground. Two cables r & s are attached to the pole at a point 16 feet Above the ground. The combined length of the two cables is 50 feet. If cable r is attached to the ground 12 feet from the base of the pole, what is the angle, x, to the nearest degree, that the cable s makes with the ground?