Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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An observer for a radar
station is located at the origin of a coordinate system. For the point given, find the bearing of an
airplane located at that point. Express the bearing using both methods.
( 9, 0)
a. | 90°; N 90° E or S
90° E | c. | 270°; N
90° E or S 90° E | b. | 90°; N 90° W or S 90°
W | d. | 270°; N 90° W or S 90°
W |
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2.
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An observer for a radar
station is located at the origin of a coordinate system. For the point given, find the bearing of an
airplane located at that point. Express the bearing using both methods.
( 6, 6)
a. | 45°; S 45°
E | c. | 45°; N 45°
E | b. | 45°; S 45°
W | d. | 45°; N 45°
W |
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3.
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An observer for a radar
station is located at the origin of a coordinate system. For the point given, find the bearing of an
airplane located at that point. Express the bearing using both methods.
( 7, -7)
a. | 135°; N 45°
W | c. | 45°; S 45°
E | b. | 45°; N 45°
W | d. | 135°; S 45°
E |
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4.
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An observer for a radar
station is located at the origin of a coordinate system. For the point given, find the bearing of an
airplane located at that point. Express the bearing using both methods.
(0, 7)
a. | 0°; N 0° W or
N 0° E | c. | 180°; S
0° W or S 0° E | b. | 180°; N 0° W or N 0°
E | d. | 0°; S 0° W or S 0°
E |
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5.
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A fire is sighted due west of
lookout A. The bearing of the fire from lookout B, 14.1 miles due south of A, is N
32°57'W. How far is the fire from B (to the nearest tenth of a mile)?
a. | 17.8 mi | c. | 18.8 mi | b. | 19.8 mi | d. | 16.8 mi |
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6.
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A boat sails for 3 hours
at 25 mph in a direction 93°2'. How far south has it sailed (to the nearest
mile)?
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7.
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A boat sails for 2 hours
at 30 mph in a direction 95°58'. How far south has it sailed (to the nearest
mile)?
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8.
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An airplane travels at
195 km/h for 1 hr in a direction of 287° from Greenville. At the end of this
time, how far west of Greenville is the plane (to the nearest kilometer)?
a. | 204 km | c. | 60 km | b. | 186 km | d. | 57 km |
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9.
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An airplane travels at
165 km/h for 3 hr in a direction of 174° from a local airport. At the end of this
time, how far east of the airport is the plane (to the nearest kilometer)?
a. | 4736 km | c. | 492 km | b. | 4710 km | d. | 52 km |
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10.
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A ship travels 82 km on a
bearing of 24°, and then travels on a bearing of 114° for 162 km. Find
the distance from the starting point to the end of the trip, to the nearest
kilometer.
a. | 33 km | c. | 182 km | b. | 244 km | d. | 75 km |
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11.
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Radio direction finders are set
up at points A and B, 8.68 mi apart on an east-west line. From A it is found that the bearing of a
signal from a transmitter is  while from B it is 
Find the distance of the transmitter from B, to the nearest hundredth of a mile.
a. | 4.57 mi | c. | 7.55 mi | b. | 7.05 mi | d. | 5.07 mi |
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12.
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Find h as indicated in the
figure. Round to the nearest foot.
a. | 86 ft | c. | 84 ft | b. | 89 ft | d. | 80 ft |
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13.
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Find h as indicated in the
figure. Round to the nearest meter.
a. | 165 m | c. | 50 m | b. | 65 m | d. | 86 m |
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14.
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The angle of elevation from a
point on the ground to the top of a tower is 39°  . The angle
of elevation from a point 114 feet farther back from the tower is 24°  . Find the height of the tower. Round to the nearest foot.
a. | 130 ft | c. | 1190 ft | b. | 115 ft | d. | 119 ft |
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15.
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Bob is driving along a straight
and level road straight toward a mountain. At some point on his trip he measures the angle of
elevation to the top of the mountain and finds it to be  He then drives 1 mile  more and measures the angle of elevation to be  Find the height of the
mountain to the nearest foot.
a. | 474,672
ft | c. | 4747
ft | b. | 4847
ft | d. | 47,467 ft |
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16.
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A person is watching a boat
from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed,
the angle of depression to the boat is 13°  . When the boat stops, the
angle of depression is 49°  . The lighthouse is 200 feet tall. How far did
the boat travel from when it was first noticed until it stopped? Round to the nearest
foot.
a. | 729 ft | c. | 684 ft | b. | 668 ft | d. | 706 ft |
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17.
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A person is watching a car from
the top of a building. The car is traveling on a straight road directly toward the building. When
first noticed, the angle of depression to the car is 26°  . When the
car stops, the angle of depression is 42°  . The building is 240
feet tall. How far did the car travel from when it was first noticed until it stopped? Round to the
nearest foot.
a. | 212 ft | c. | 412 ft | b. | 191 ft | d. | 238 ft |
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18.
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A person is watching a car from
the top of a building. The car is traveling on a straight road away from the building. When first
noticed, the angle of depression to the car is 45°  . When the
car stops, the angle of depression is 22°  . The building is 270
feet tall. How far did the car travel from when it was first noticed until it stopped? Round to the
nearest foot.
a. | 367 ft | c. | 388 ft | b. | 588 ft | d. | 415 ft |
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19.
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In one area, the lowest angle
of elevation of the sun in winter is  Find the minimum distance x that a plant
needing full sun can be placed from a fence that is 5 feet high. Round your answer to the
tenths place when necessary.
a. | 12.4 ft | c. | 9 ft | b. | 9.2 ft | d. | 8.6 ft |
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20.
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In one area, the lowest angle
of elevation of the sun in winter is 21°  . A fence is to be built
 away from a plant in the direction of the
sun. (See drawing) Find the maximum height, x , for the fence so that the plant will get full
sun. Round your answer to the tenths place when necessary.
a. | 6.3 ft | c. | 5.1 ft | b. | 4.1 ft | d. | 4.8 ft |
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21.
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A 5.6-ft fence
is 12.818 ft away from a plant in the direction of the sun. It is observed that the
shadow of the fence extends exactly to the bottom of the plant. (See drawing) Find è, the angle of elevation of the sun at that time. Round the measure of the angle
to the nearest tenth of a degree when necessary.
a. | è =
23.4° | c. | è =
25° | b. | è = 23.8° | d. | è = 23.6° |
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