Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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a = 3, A = 25°; Find b, c, and B.
a. | b = 6.43
c =
8.1
B = 75° | c. | b = 6.43
c = 8.1
B = 65°
| b. | b = 6.43
c =
7.1
B = 65° | d. | b = 6.43
c = 7.1
B = 75°
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2.
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Solve the Problem.
A building 150 feet tall casts
a 30 foot long shadow. If a person looks down from the top of the building, what is the measure
of the angle between the end of the shadow and the vertical side of the building (to the nearest
degree)? (Assume the person's eyes are level with the top of the building.)
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3.
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Solve the triangle.
a. | C = 60°, a = 8.47, c = 7.19
| c. | C = 50°, a = 7.19, c = 8.47
| b. | C = 55°, a = 8.47,
c = 7.19 | d. | C = 55°, a = 7.19,
c = 8.47 |
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4.
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Two sides and an angle are
given. Determine whether the given information results in one triangle, two triangles, or no triangle
at all. Solve any triangle(s) that results.
a = 22, b = 15, B = 20°
a. | one triangle
A = 30.11°, C = 129.89°, c = 33.65 | c. | one triangle
A = 149.89°, C =
10.11°, c = 7.7 | b. | two
triangles
 = 30.11°,  =
129.89°,  = 33.65 or
 =
149.89°,  = 10.11°,  = 7.7
| d. | no triangle
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5.
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B = 94°, b = 2, a = 25
a. | one triangle
A = 47°, C = 39°, c = 27 | c. | one triangle
A
= 48°, C = 39°, c = 31 | b. | one triangle
A = 46°, C = 39°, c
= 29 | d. | no triangle
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6.
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Solve the problem:
A rocket
tracking station has two telescopes A and B placed 2.2 miles apart. The telescopes lock onto a
rocket and transmit their angles of elevation to a computer after a rocket launch. What is the
distance to the rocket from telescope B at the moment when both tracking stations are directly east
of the rocket telescope A reports an angle of elevation of 30° and telescope B reports an
angle of elevation of 53°?
a. | 4.5 mi | c. | 1.38 mi
| b. | 2.82 mi | d. | 3.51 mi |
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7.
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Solve the triangle.
a. | c = 5.05, A = 21.8°, B = 48.2°
| c. | c = 4.05, A =48.2°, B = 21.8°
| b. | c = 5.05, A =
48.2°, B = 21.8° | d. | c = 6.05, A = 21.8°, B = 48.2°
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8.
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a. | A = 32.1°, B =
20.7°, C = 127.2° | c. | A = 127.2°, B = 20.7°, C = 32.1°
| b. | A = 127.2°, B =
32.1°, C = 20.7° | d. | A = 32.1°, B = 127.2°, C = 20.7°
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9.
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Solve the problem.
Two sailboats leave a harbor in the Bahamas at the same
time. The first sails at 21 mph in a direction 330°. The second sails at 31
mph in a direction 200°. Assuming that both boats maintain speed and heading, after
4 hours, how far apart are the boats?
a. | 137.8 mi
| c. | 189.3 mi
| b. | 164.9 mi
| d. | 121.6 mi
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10.
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Find the area of the
triangle. If necessary, round the answer to two decimal places.
a. | 10.88 | c. | 20.29 | b. | 5.07 | d. | 10.14 |
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11.
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a. | 3.87 | c. | 53.67 | b. | 1.73 | d. | 16.97 |
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12.
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Solve the problem.
12)
A room in the shape of a triangle has sides of length 7 yd, 9 yd,
and 12 yd. If carpeting costs $17.50 a square yard and padding costs $5.25 a square
yard, how much to the nearest dollar will it cost to carpet the room, assuming that there is no
waste?
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