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SineSine CosineCosine TangentTangent PythagoreanPythagoreanTheoremTheorem

Mixed WordMixed WordProblemsProblems(Regents)(Regents)

What is the ratio for the sine of an angle?

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10 points

A N S W E R:


10 points

HypotenuseOppositeSin

Find the value of x to the nearest hundredth:


20 points

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'20x

40

A N S W E R:


20 points

'86.12x

Find the measurement of angle x

x


30 points

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"12 "24

A N S W E R:


30 points

30x

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?


40 points

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71

A N S W E R:


40 points

9.5 feet


50 points

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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

A N S W E R:


50 points

6,608 feet


10 points

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What is the ratio for the cosine of an angle?

A N S W E R:


10 points

HypotenuseAdjacentCos


20 points

See Answer

Find the value of x to the nearest whole number

30cm

38x

A N S W E R:


20 points

X=24


30 points

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8’10’x

Find the value of x to the nearesttenth of a degree

A N S W E R:


30 points

9.36x

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.


40 points

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35

A N S W E R:


40 points

46.2x

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.


50 points

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A N S W E R:


50 points

48x


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10 points

What is the ratio for the tangent of an angle?

A N S W E R:


10 points

AdjacentOppositeTan


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20 points

Find the value of x:12

45x

A N S W E R:


20 points

X=12

Find the measure of x to the nearest

degree.


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30 points

x4

14

A N S W E R:


30 points

74x


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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

A N S W E R:


40 points

56 meters

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:


50 points

59

What is the Pythagorean theorem and when is it used?


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10 points

A N S W E R:


10 points

222 cba The Pythagorean theorem is and it is used to find side lengths of a right triangle.

Find x:


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20 points

6

6

x

A N S W E R:


20 points

49.826


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30 points

The lengths of the sides of a triangle are 8, 15, and 17. Is this a right triangle?

A N S W E R:


30 points

Yes

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

A N S W E R:


40 points

X=10

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

A N S W E R:


50 points

Width = 8, Length = 15

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

A N S W E R:


10 points

16 feet

Find, to the nearest tenth of a foot, the height of the tree represented in the accompanying diagram.


20 points

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A N S W E R:


20 points

X= 28.2

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.


30 points

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A N S W E R:


30 points

The plane has gone 2,096 ft.

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

A N S W E R:


40 points

3.1 feet


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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?

A N S W E R:


50 points

32x

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