Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Determine the length of k to the nearest centimetre.
 a. | 29 cm | b. | 28 cm | c. | 27
cm | d. | 30 cm |
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2.
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Determine the measure of ÐR to the
nearest degree.
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3.
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In DRST, ÐS
= 54°, s = 91.8 cm, and ÐT = 64°.
Determine the length of side t to the nearest tenth of a centimetre.
a. | 102.4 cm | b. | 102.2 cm | c. | 102.0
cm | d. | 102.6 cm |
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4.
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In DQRS, q = 10.0 cm, s = 9.0
cm, and ÐS = 61°.
Determine the measure of ÐQ to the nearest degree.
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5.
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In DABC, a = 4.1 cm, b = 4.4 cm,
and ÐB = 64°.
Determine the measure of ÐC to the nearest degree.
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6.
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What information do you need to know about an acute triangle to use the cosine
law?
a. | two sides and any angle | b. | two angles and any side | c. | all the
angles | d. | all the sides |
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7.
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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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8.
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Determine the length of KL to the nearest centimetre.
 a. | 27 cm | b. | 26 cm | c. | 34
cm | d. | 33 cm |
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9.
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Determine the measure of q to the nearest
degree.
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10.
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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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11.
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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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12.
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How you would determine the indicated side length, if it is possible?  a. | the cosine law | b. | primary trigonometric
ratios | c. | not possible | d. | the sine law |
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13.
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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.
How
would you determine the distance from the village to the starting point? a. | primary trigonometric ratios | b. | the sine law | c. | the cosine
law | d. | not possible |
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14.
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A kayak leaves Rankin Inlet, Nunavut, and heads due south for 4.5 km.
At the
same time, a second kayak travels in a direction S75°E from
the inlet for 3.2 km. In which
direction, to the nearest degree,
would the second kayak have to travel to meet the first
kayak?
a. | S40°W | b. | S45°W | c. | S50°W | d. | S45°W |
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15.
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A radar operator on a ship discovers a large
sunken vessel lying parallel to the ocean surface, 120 m directly below the ship. The length of the
vessel is a clue to which wreck has been found. The radar operator measures the angles of depression
to the front and back of the sunken vessel to be 55° and 46°. How long, to the nearest
tenth of a metre, is the sunken vessel?
a. | 203.7 m | b. | 201.8 m | c. | 199.9
m | d. | 198.0 m |
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Short Answer
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16.
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In DXYZ, ÐX
= 36°, x = 14.4 cm, and ÐY = 70°.
Determine the length of side y to the nearest tenth of a centimetre.
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17.
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How you would determine the indicated side length, if it is possible? 
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18.
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In a parallelogram, two adjacent sides measure 17 cm and 14 cm. The shorter
diagonal is 11 cm. Determine, to the nearest degree, the measures of the larger angles in the
parallelogram.
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Problem
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19.
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In DTUV, ÐU
= 60°, u = 8.7 m, and v = 7.6 cm.
Solve the triangle. Round angles to the
nearest degree and sides
to the nearest tenth of a metre. Show your work.
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20.
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Two airplanes leave Dawson City Airport at the same time.
One airplane
travels at 420 km/h. The other airplane travels at 375 km/h.
About 2 h later, they are 1000
km apart. Determine the angle between their paths,
to the nearest degree.
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21.
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Determine the perimeter of the triangle to the nearest tenth of a
centimetre. 
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