Trigonometry quiz 5
QUESTION 1
Find the area of the triangle having the given measurements. Round to the nearest square unit.B = 20°, a = 7 meters, c = 12 meters
|
|
A. |
None of the above |
|
|
B. |
13 square meters |
|
|
C. |
16 square meters |
|
|
D. |
11 square meters |
|
|
E. |
14 square meters |
|
|
|
|
QUESTION 2
Given two sides and an angle of a triangle. Determine angles B and C.A = 60°, a = 5, c = 3
|
|
A. |
B = 88.69°, C = 30.31° |
|
|
B. |
A = 90°, C = 30° |
|
|
C. |
A = 41°, C = 57°, |
|
|
D. |
B = 88.69°, C = 31.31° |
|
|
E. |
B = 68.69°, C = 30.31° |
|
|
|
|
QUESTION 3
Given two sides and an angle of a triangle. Solve the triangle.B = 85°, b = 5, a = 25
|
|
A. |
A = 41°, C = 57°, c = 30 |
|
|
B. |
A = 40°, C = 57°, c = 32 |
|
|
C. |
No triangle |
|
|
D. |
A = 42°, C = 57°, c = 34 |
|
|
E. |
A = 40°, C = 57°, c = 30 |
|
|
|
|
QUESTION 4
A triangle has the following measurements: B = 30° C = 110° b = 40. Determine angle A and the length of side a.
|
|
A. |
A= 40° a = 20.4 |
|
|
B. |
A= 40° a = 60.5 |
|
|
C. |
A= -40° a = 60.5 |
|
|
D. |
A= 40° a = 51.42 |
|
|
E. |
A= -40° a = 21.4 |
|
|
|
|
QUESTION 5
Given a triangle has sides a = 6 ft, b = 15 ft, c = 12 ft. Determine the area of the triangle. , rounded to nearest whole number.
|
|
A. |
32 square feet |
|
|
B. |
34 square feet |
|
|
C. |
31 square feet |
|
|
D. |
24 square feet |
|
|
E. |
22 square feet |
|
|
|
|
QUESTION 6
A triangle has the following measurements: A = 10°, C = 140°, a = 50. Determine angle B and the lengths of side b.
|
|
A. |
None of the above |
|
|
B. |
B = 30°, b = 143.97 |
|
|
C. |
B = 37.2°, b = 27.9 |
|
|
D. |
B = 37.2°, b = 334.2 |
|
|
E. |
B = 36.8°, b = 267.7 |
|
|
|
|
QUESTION 7
If a triangle has sides a = 6, b = 15, c = 12, determine angle C.
|
|
A. |
C = 55.56° |
|
|
B. |
C = 19.65° |
|
|
C. |
C = 86.35° |
|
|
D. |
C = 49.46° |
|
|
E. |
C = 84.77° |
|
|
|
|
QUESTION 8
A triangle has the following measurements: A = 25°, B = 50°, c = 20. Determine the lengths of sides a and b.
|
|
A. |
a = 21.5, b = 12.1 |
|
|
B. |
a = 12.1, b = 21.5 |
|
|
C. |
a = 8.75, b = 15.86 |
|
|
D. |
a = 60, b = 33.9 |
|
|
E. |
None of the above
|
QUESTION 9
A triangle has sides a = 7, b = 9, and angle C = 100°. Determine side c.
|
|
A. |
c = 16.4 |
|
|
B. |
c = 12.32 |
|
|
C. |
c = 16.0 |
|
|
D. |
c = 19.3 |
|
|
E. |
c = 10.52 |
|
|
|
|
QUESTION 10
A triangle has the following measurements: A = 120° B = 40° c = 7. Determine side a.
|
|
A. |
a = 17.72 |
|
|
B. |
a = 13.16 |
|
|
C. |
a = 3.38 |
|
|
D. |
a = 3.38 |
|
|
E. |
a = 6.55
|
QUESTION 11
Given a triangle has angles A = 35° and C = 80°, determine angle B.
|
|
A. |
B = 55° |
|
|
B. |
B = 55° |
|
|
C. |
B = 50° |
|
|
D. |
B = 55° |
|
|
E. |
B = 65° |
|
|
|
|
QUESTION 12
A painter needs to cover a triangular region 65 feet by 50 feet by 60 feet.If a can of paint covers 50 square feet. What is the least number of cans that will be needed?
|
|
A. |
29 |
|
|
B. |
36 |
|
|
C. |
27 |
|
|
D. |
28 |
|
|
E. |
30 |
|
|
|
|
QUESTION 13
Given a triangle has sides a = 13 ft, b = 14 ft, c = 14 ft.Determine the area of the triangle, rounded to nearest whole number.
|
|
A. |
81 square feet |
|
|
B. |
87 square feet |
|
|
C. |
84 square feet |
|
|
D. |
90 square feet |
|
|
E. |
91 square feet |
|
|
|
|
QUESTION 14
Given two sides and an angle of a triangle. Solve the triangle.A = 15°, a = 30, b = 30
|
|
A. |
B = 150°,C = 15°, c = 22.5 |
|
|
B. |
No triangle |
|
|
C. |
B = 150°,C = 15°, c = 57.96 |
|
|
D. |
B = 15°, C = 150°, c = 57.96 |
|
|
E. |
B = 15°,C = 60°, c = 22.5 |
|
|
|
|
QUESTION 15
1.
|
|
A. |
None of the Above. |
|
|
B. |
A = 31°, B = 24°, C = 125° |
|
|
C. |
A = 125°, B = 31°, C = 24° |
|
|
D. |
A = 31°, B = 125°, C = 24° |
|
|
E. |
A = 125°, B = 24°, C = 31° |
|
|
|
|
QUESTION 16
|
|
A. |
A = 48.8°, B = 34.77°, C = 66.42° |
|
|
B. |
A = 35°, B = 86°, C = 59° |
|
|
C. |
A = 35.8°, B = 59.5°, C = 86.7° |
|
|
D. |
A = 58.0°, B = 34.77°, C = 87.42° |
|
|
E. |
A = 58.8°, B = 34.77°, C = 86.42° |
|
|
|
|
QUESTION 17
A triangle has sides a = 6, c = 8, and angle B = 125° Determine angle A.
|
|
A. |
A = 23.25° |
|
|
B. |
A = 20.70° |
|
|
C. |
A = 21.67° |
|
|
D. |
A = 20.66° |
|
|
E. |
A = 25.55° |
|
|
|
|
QUESTION 18
A surveyor calculates the area of a triangular shape lot by measuring the 3 sides. If side a = 150 feet , side b = 200 feet, and side c = 100, determine the area of the lot.
|
|
A. |
7,261.84 square feet. |
|
|
B. |
3,055.85 square feet. |
|
|
C. |
5,061.65 square feet. |
|
|
D. |
3,051.85 square feet. |
|
|
E. |
8,051.85 square feet. |
|
|
|
|
QUESTION 19
Find the area of the triangle having the given measurements. Round to the nearest square unit.A = 20°, b = 12 inches, c = 6 inches
|
|
A. |
34 square inches |
|
|
B. |
10 square inches |
|
|
C. |
12 square inches |
|
|
D. |
32 square inches |
|
|
E. |
11 square inches |
|
|
|
|
QUESTION 20
A triangle has sides a = 5, b = 5, c = 15, determine the three angles.
|
|
A. |
A = 34°, B = 78°, C = 78° |
|
|
B. |
A = 78°, B = 24°, C = 78° |
|
|
C. |
No Triangle |
|
|
D. |
A = 39°, B = 79°, C = 22° |
|
|
E. |
A = 78°, B = 78°, C = 24° |
|
|
|
|