Trigonometry quiz 8
Dr Richards
week_8_quiz_question.docxFind the area of the triangle having the given measurements. Round to the nearest square unit.A = 20°, b = 12 inches, c = 6 inches
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A. |
11 square inches |
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B. |
34 square inches |
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C. |
10 square inches |
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D. |
12 square inches |
QUESTION 2
Evaluate the expression arctan(2.2). Round your result to three decimal places.
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A. |
1.244 |
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B. |
-0.524 |
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C. |
1.450 |
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D. |
1.144 |
QUESTION 3
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A. |
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B. |
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C. |
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D. |
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QUESTION 4
An electric hoist is being used to lift a beam. The diameter of the drum on the hoist is 8 inches, and the beam must be raised 2.5 feet. Find the number of degrees through which the drum must rotate. Round your answer to nearest whole number.
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A. |
37 degrees |
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B. |
39 degrees |
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C. |
36 degrees |
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D. |
38 degrees |
QUESTION 5
Given two sides and an angle of a triangle. Solve the triangle.C = 114°, c = 87, b = 12
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A. |
A = 58.76° B = 7.24° a = 81.43 |
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B. |
A = 20° B = 47° a =97.85 |
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C. |
A = 6° B = 60° a = 81.43 |
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D. |
A = 12° B = 115° a =48.98 |
QUESTION 6
A triangle has the following measurements: A = 82° B = 65° b = 36. Determine side a.
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A. |
a = 13.16 |
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B. |
a = 39.34 |
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C. |
a = 38.38 |
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D. |
a = 36.55 |
QUESTION 7
Given a triangle has sides a = 32 ft, b = 24 ft, c = 36 ft. Determine the area of the triangle. , rounded to nearest whole number.
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A. |
229 square feet |
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B. |
302 square feet |
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C. |
376 square feet |
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D. |
344 square feet |
QUESTION 8
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A. |
7,000 |
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B. |
5,130 |
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C. |
1,601 |
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D. |
1,605 |
QUESTION 9
Which of the following are solutions to:
sec2x-6secx-7=0
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A. |
arcsec(-7) or arcsec(-1) |
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B. |
arcsec(7) or arcsec(-1) |
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C. |
arcsec(-7) or arcsec(1) |
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D. |
arcsec(7) or arcsec(1) |
QUESTION 10
A triangle has sides a = 5, c = 9, and angle B = 54° Determine angle A.
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A. |
A = 25.55° |
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B. |
A = 23.25° |
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C. |
A = 21.67° |
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D. |
A = 33.72° |
QUESTION 11
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QUESTION 12
Solve: ln(x+5)-ln(x)=ln2
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A. |
5 |
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B. |
-2 |
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C. |
0 |
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D. |
1 |
QUESTION 13
Solve: ln(3x2-2)=ln(-6x2+2)
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A. |
-3 |
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B. |
1 |
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C. |
3/2 |
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D. |
2/3, -2/3 |
QUESTION 14
A sprinkler on a golf green is set to spray water over a distance of 15 meters and to rotate through an angle of 170°. Find the area of the region. Round your answer to two decimal places.
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A. |
316.12 squared meters |
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B. |
333.79 squared meters |
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C. |
335.00 squared meters |
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D. |
311.13 squared meters |
QUESTION 15
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A. |
8 + 8i |
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B. |
16i |
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C. |
32 |
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D. |
8 + i |
QUESTION 16
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A. |
3° |
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B. |
87° |
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C. |
-3° |
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D. |
60° |
QUESTION 17
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QUESTION 18
Find the absolute value of the complex number. z = 1 – 7i
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A. |
5
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B. |
-7
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C. |
0 |
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D. |
7 |
QUESTION 19
Write the complex number 2 - 2i in trigonometric form.
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QUESTION 20
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QUESTION 21
Find the radian measure of the central angle of the circle of radius 7 centimeters that intercepts an arc of length 15 centimeters. Round to three decimals.
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A. |
2.143 |
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B. |
30.401 |
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C. |
.554 |
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D. |
4.421 |
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E. |
3.901 |
QUESTION 22
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A. |
1, 1/3 |
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B. |
-1, 1/3 |
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C. |
1, -1/3 |
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D. |
-1/3
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QUESTION 23
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QUESTION 24
1.
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A. |
0 |
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B. |
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D. |
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QUESTION 25
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A. |
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B. |
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C. |
Cannot be determined |
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D. |
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