Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which ratios are equivalent for all three side-angle pairs in acute
triangles?
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2.
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Which expression describes the ratios of side-angle pairs in DQRS?  a. | q(sin Q) = r(sin R) = s(sin S)
| b. | q(sin R) = r(sin S) = s(sin Q)
| c. |  | d. |  |
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3.
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What information do you need to know about an acute triangle to use the sine
law?
a. | two angles and any side | b. | two sides and any angle | c. | all the
angles | d. | all the sides |
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4.
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Determine the measure of q to the nearest
degree.
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5.
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In DXYZ, ÐX
= 51°, x = 7.0 cm, and ÐZ = 41°.
Determine the length of side y to the nearest tenth of a centimetre.
a. | 11.0 cm | b. | 10.0 cm | c. | 9.0
cm | d. | 8.0 cm |
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6.
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Determine the length of EF to the nearest centimetre.
 a. | 84 cm | b. | 82 cm | c. | 88
cm | d. | 86 cm |
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7.
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Determine the measure of q to the nearest
degree.
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8.
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In DDEF, d = 23.9 cm, e = 16.8
cm, and f = 27.0 cm.
Determine the measure of ÐD to
the nearest degree.
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9.
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In DDEF, d = 23.9 cm, e = 16.8
cm, and f = 27.0 cm.
Determine the measure of ÐF to
the nearest degree.
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10.
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In DXYZ, x = 18 cm, y = 14 cm,
and z = 17 cm.
Determine the measure of ÐZ to the
nearest degree.
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11.
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How you would determine the indicated angle measure, if it is possible?  a. | the sine law | b. | not possible | c. | primary
trigonometric ratios | d. | the cosine law |
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12.
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A bush pilot delivers supplies to a remote camp by flying 310 km in the
direction N12°W. While at the camp, the pilot receives a radio message to pick up a passenger at
a village. The village is 70 km S61°W from the camp.
What is the total distance, to the
nearest kilometre, that the pilot will have flown by the time he returns to his starting
point?
a. | 594 km | b. | 646 km | c. | 677
km | d. | 760 km |
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13.
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How long, to the nearest inch, is the left rafter in the roof shown?
 a. | 30¢6¢¢ | b. | 31¢6¢¢ | c. | 31¢0¢¢ | d. | 30¢0¢¢ |
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14.
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How long, to the nearest inch, is the right rafter in the roof shown?
 a. | 34¢6¢¢ | b. | 33¢6¢¢ | c. | 33¢0¢¢ | d. | 34¢0¢¢ |
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15.
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In a parallelogram, two adjacent sides measure 20 cm and 27 cm.
The shorter
diagonal is 23 cm. Determine, to the nearest degree,
the measures of the larger angles in
the parallelogram.
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Short Answer
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16.
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Sketch a triangle that corresponds to the equation. Then, determine the third
angle measure and the third side length.
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17.
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In DLMN, l = 10.0 cm, m = 13.2
cm, and ÐM = 79°.
Determine the measure of ÐL to the nearest degree.
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18.
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In DWXY, the values of w, x, and
y are known. Write the form of the cosine law you could use to solve for the angle opposite
w.
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Problem
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19.
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A parallelogram has sides that are 10 cm and 12 cm long.
One of the angles
in the parallelogram measures 55°.
Determine the length of the shorter diagonal to the
nearest tenth of a centimetre.
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20.
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Determine the perimeter of the triangle to the nearest tenth of a
centimetre. 
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21.
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A bush pilot delivers supplies to a remote camp
by flying 180 km in the direction N42°W. While at the camp, the pilot receives a radio message
to pick up a passenger at a village. The village is 140 km S47°W from the camp. The pilot
collects the passenger and flies back to his starting point. What is the total distance that the
pilot has flown, to the nearest kilometre?
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