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1.
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From a point 30 feet from the base of a tower, a wire is stretched to an attachment 67 feet up the
tower.
To the
nearest foot, how long is the wire? |  | | |
A) | 97 ft | B) | 73 ft | C) | 60 ft | D) | 37
ft |
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2.
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A 40-foot ladder leaning against a building makes an angle of 60° with the
ground.
How far from the base of the building is the foot of the
ladder? |  | | |
A) | 10 ft | B) | 17.3 ft | C) | 20 ft | D) | 34.6
ft |
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3.
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A) | 17.3 yd | B) | 11.2 yd | C) | 22.4 yd | D) | 25.0
yd |
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4.
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Given the following measures of the sides of
triangles, which is a right triangle?
A) | 5 ft, 12 ft, 13 ft | C) | 6 yd,
11 yd, 14 yd | B) | 4 in., 13 in., 14
in. | D) | 6 cm, 13 cm, 15 cm |
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5.
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The drawing shows the measurements in a
section of a circular design.
How long is the radius of the
circle? |  | | |
A) | 30.0 m | B) | 26.0 m | C) | 21.2 m | D) | 52.0
m |
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6.
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A carpenter is building a flight of
stairs as pictured in the drawing.
What is the
horizontal distance from the foot of the stairs to the wall? |  | | |
A) | 9.0 ft | B) | 15.6 ft | C) | 18.0 ft | D) | 12.7
ft |
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7.
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Triangle WXY is a right triangle with
the measures shown.
The length of 
is: |  | | |
A) | 13 ft | B) | 12 ft | C) | 8 ft | D) | 5
ft |
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8.
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The top of a ladder is leaning on a building at a point 16 feet above the
ground; the bottom of the ladder is 7 feet from the base of the building. What is the length of the
ladder to the nearest foot?
A) | 23 ft | B) | 17 ft | C) | 15 ft | D) | 9
ft |
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9.
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What is the length of  ?
A) | 9.38 m | B) | 11 m | C) | 18.76 m | D) | 15.81
m |
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10.
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A design is formed by joining isosceles right triangles and 60°-30°
right triangles as shown in the diagram.
If the hypotenuse of the 60°-30° triangle is 30 centimeters, which is
closest to the length of one leg of the isosceles right triangle? |  | | |
A) | 15 cm | B) | 22.5 cm | C) | 21.2 cm | D) | 26
cm |
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11.
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A windlass is used to pull a boat to the dock. The rope is attached to the boat at a point 8 feet below the
level of the windlass.
What is the distance from the boat to the dock when the
rope is 17 feet? |  | | |
A) | 17 ft | B) | 15 ft | C) | 9 ft | D) | 8
ft |
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12.
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The parallelogram has the measurements shown. | Which is closest to the length of the altitude,
h? |  | | |
A) | 24.64 | B) | 13.42 | C) | 15.59 | D) | 13.07 |
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13.
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For the triangle represented by
the drawing, what is the length of side  ? |  | | |
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14.
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Scotty is making a train of dominoes on the floor.  How many
dominoes are needed to complete the triangle?
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15.
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Using the measures shown, which triangle must be a right triangle?
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16.
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What is the length of a diagonal brace | that
could be used for a wall 5 feet high and 12 feet long? |  | | |
A) | 11 ft | B) | 12 ft | C) | 17 ft | D) | 13
ft |
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17.
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Which of the following sets of lengths can represent the measures of the sides
of a right triangle?
A) | 4, 5, 6 | B) | 5, 7, 13 | C) | 8, 12, 17 | D) | 24, 32,
40 |
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18.
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19.
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Triangle MNP is an equilateral triangle with side lengths of 12
centimeters.
What is the length, in centimeters, of  ? |  | | |
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20.
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A) | 226 mm | B) | 140 mm | C) | 147 mm | D) | 430
mm |
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21.
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Ms. Stein is constructing a walkway through her rectangular herb garden. The walkway runs diagonally as shown in the
diagram.
Which is closest to the length of the walkway? |  | | |
A) | 18.5 ft | B) | 23.3 ft | C) | 20.0 ft | D) | 31.0
ft |
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22.
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In the figure,
what is the
value of x ? |  | | |
A) | 10 | B) |  | C) |  | D) | 20 |
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23.
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An equilateral triangle is folded in half.
What is x, the height of the equilateral
triangle? |  | | |
A) |  yd | B) | 18 yd | C) | 
yd | D) | 9
yd |
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24.
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A spectator is viewing the six cars of a
roller coaster as it travels down a hill at an amusement
park.
Which is the closest to the total length of the six cars? |  | | |
A) | 14.4 ft | B) | 16.0 ft | C) | 25.0 ft | D) | 39.9
ft |
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25.
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The figure represents the side view of a
rectangular frame for metal shelves. Two diagonal braces support the frame.
What is
the closest to the measure of x? |  | | |
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