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1.
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A kite frame consists of two perpendicular pieces of wood placed along the
diagonals. Decorative binding will be placed along the perimeter of the kite. To the nearest tenth of
an inch, how much binding is needed?
a. | 70.0 in. | c. | 100.7 in. | b. | 90.4 in. | d. | 140.0 in. |
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2.
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Verify that segments with lengths of 21 inches, 72 inches, and 75 inches form a
triangle. If so, determine whether they form a right triangle.
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3.
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Find the value of x. Write your answer in simplest form.
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4.
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Find the values of x and y. Write your answer in simplest form.
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5.
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A “Yield” traffic sign has the shape of an equilateral triangle with
a side length of 36 inches. What is the height of the sign?
a. | The Yield sign is about 33.7 inches tall. | b. | The Yield sign is
about 31.2 inches tall. | c. | The Yield sign is about 25.5 inches tall.
| d. | The Yield sign is about 50.9 inches tall. |
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6.
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A 12-foot ladder is leaning up against the side of a house. The ladder makes an
angle of with the ground. How far up the side of the
house does the ladder reach? Round your answer to the nearest tenth.
a. | 6.0 feet | c. | 1.7 feet | b. | 8.5 feet | d. | 10.4 feet |
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7.
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Find the geometric mean of 6 and 9.
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8.
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The altitude to the hypotenuse of a right triangle has a length of 12. What
could be the lengths of the two segments of the hypotenuse?
a. | 2 and 6 | c. | 6 and 24 | b. | 2 and 8 | d. | 6 and 30 |
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9.
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Find AB. If necessary, give the answer in simplest radical
form.
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10.
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What is the value of ?
a. | 4.5 | d. | 10.5 | b. | 7.5 | e. | 12.5 | c. | 10 |
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11.
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What is tan K?
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12.
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13.
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Write cos 16° in terms of the sine.
a. | sin 164° | c. | sin 84° | b. | sin 74° | d. | sin 16° |
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14.
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A skateboard ramp makes a 22 angle with the ground. To
the nearest foot, how high is the ramp?
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15.
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A camera is mounted at a point 4,100 ft from the base of a rocket launching pad.
Assuming the rocket rises vertically, what is the height of the rocket from its base when the camera
angle is 27°? Round your answer to the nearest foot.
a. | 2,089 ft | c. | 1,861 ft | b. | 8,047 ft | d. | 3,653 ft |
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16.
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Stefan and Angela are building a skateboard ramp with the dimensions shown. To
find the height of the ramp, Stefan says they should use the expression . Angela says
they should use the expression . Whose
expression is correct? What error did the other person make? What is the height of the ramp? Round
your answer to the nearest tenth.
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17.
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A helicopter pilot sights a landmark at an angle of depression of 22 . The altitude of the helicopter is 1450 feet. To the nearest foot, what is the distance
from the helicopter to the landmark.
a. | 543 ft | c. | 3589 ft | b. | 586 ft | d. | 3871 ft |
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18.
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A blueprint of a table is shown below. What is the area of the table to the
nearest tenth of a square foot? ( Picture is not to scale.)
a. | | b. | |
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19.
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Use the given measurements to solve DABC.
Round to the nearest tenth.
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20.
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A shelf extends perpendicularly 26 cm from a wall. You want to place a 32 cm
brace under the shelf, as shown below. a. To the nearest tenth, how far below the
shelf should the brace be attached to the wall? b. To the nearest
degree, what angle does the brace make with the wall? c. To the
nearest degree, what angle does the brace make with the shelf?
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21.
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A stone wall forms a angle with the side of a
house that is 10 yards long. A fence is being constructed that will form an
angle with the house, as shown. How much fencing must be used to enclose the area between the house
and the stone wall?
a. | 10 yd | b. | 12.2 yd | c. | 14.8
yd | d. | 16.4 yd |
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