Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Solve the problem. Be sure to make a diagram of the situation with all the given
information labeled.
The diagonal of a rectangle is 354 millimeters, while the longer side is
278 millimeters. Find the shorter side of the rectangle and the angles the diagonal makes with the
sides.
Round the side length to the nearest millimeter. Round the angles to the nearest
degree.
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2.
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Solve the problem. Be sure to make a diagram of the situation with all the given
information labeled.
A 72.3-foot rope from the top of a circus tent pole is anchored to the
ground 43.9 feet from the bottom of the pole. What angle does the rope make with the pole? (Assume
the pole is perpendicular to the ground.)
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3.
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Solve the problem. Be sure to make a diagram of the situation with all the given
information labeled.
If a 75.0-foot flagpole casts a shadow 51.0 feet long, what is the angle
of elevation of the sun (to the nearest tenth of a degree)?
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4.
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A person standing 160 centimeters from a mirror notices that the angle of
depression from his eyes to the bottom of the mirror is  , while the angle of elevation
to the top of the mirror is  . Find the vertical dimension of the mirror (see
the figure).  a. | 67 cm | b. | 75 cm | c. | 78
cm | d. | 77 cm | e. | 74 cm |
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5.
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Solve the problem. Be sure to make a diagram of the situation with all the given
information labeled. A person standing on top of a 14-foot high sand pile wishes to estimate
the width of the pile. He visually locates two rocks on the ground below at the base of the sand
pile. The rocks are on opposite sides of the sand pile, and he and the two rocks are in line with one
another. If the angles of depression from the top of the sand pile to each of the rocks are  and  , how far apart are the rocks? a. | 69 ft | b. | 71 ft | c. | 62
ft | d. | 59 ft | e. | 74 ft |
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6.
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Solve the problem. Be sure to make a diagram of the situation with all the given
information labeled. A man wandering in the desert walks 2.3 miles in the direction  . He then turns  and walks 3.3 miles in the direction  . At that time, how far is he from his starting point, and what is his bearing from his
starting point? a. | The distance is 6.3 mi ; the man's bearing is  . | b. | The distance is 4 mi ; the man's bearing is  . | c. | The distance is 6.3 mi ; the man's bearing is  . | d. | The distance is 4 mi ; the man's bearing is  . | e. | The distance is 4 mi ; the man's bearing is  . |
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7.
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Solve the problem. Be sure to make a diagram of the situation with all the given
information labeled. A tree on one side of a river is due west of a rock on the other side of
the river. From a stake 22 yards north of the rock, the bearing of the tree is  .
How far is it from the rock to the tree? a. | 8.9 yd | b. | 2.1 yd | c. | 7.4
yd | d. | 6.4 yd | e. | 9.8 yd |
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8.
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Two people decide to estimate the height of a flag pole. One person positions
himself due north of the pole and the other person stands due east of the pole. If the two people are
the same distance from the pole and 22 feet from each other, find the height of the pole if the angle
of elevation from the ground at each person's position to the top of the pole is 
(see the figure).  a. | 25 ft | b. | 24 ft | c. | 27
ft | d. | 30 ft | e. | 28 ft |
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9.
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A satellite is circling 102 miles above the earth, as shown in the figure. When
the satellite is directly above point B, angle A is found to be  .
Use this information to find the radius of the earth. Round your answer to the nearest mile.
 a. | 4,002 mi | b. | 4,000 mi | c. | 4,003
mi | d. | 3,987 mi | e. | 4,013 mi |
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10.
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Suppose the figure below is an exaggerated diagram of a plane flying above the
earth. If the plane is 4.25 miles above the earth and the radius of the earth is 4,000 miles, how far
is it from the plane to the horizon? Round your answer to the nearest mile.  a. | 199 mi | b. | 174 mi | c. | 183
mi | d. | 184 mi | e. | 187 mi |
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