23 trig questions 3 must have all work shown 20 just the answers from multiple choice.
Answer each of the first 3 questions. Providing detailed work illustrating how you arrived at your solution.
1) To determine the distance between two aircraft, a tracking station continuously determines the distance to each aircraft and the angle between them (see figure). Determine the distance a between the planes when A = 20°,b = 40 miles and c = 18 miles.
2) To approximate the length of a marsh, a surveyor walks 260 meters from point A to point B, then turns 73° and walks 215 meters to point C (see figure). Approximate the length of AC the marsh.
3) The course for a boat race starts at point A and proceeds to point B, then to point C, and finally back to A, as shown in Figure below. Point C lies 8 kilometers directly south of point A. Approximate the total distance of the race course.
Question 1
A triangle has sides a = 7, b = 9, and angle C = 100°. Determine side c.
A. 
c = 12.32 

B. 
c = 19.3 

C. 
c = 16.0 

D. 
c = 16.4 

E. 
c = 10.52 
Question 2
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. 
30 

B. 
36 

C. 
29 

D. 
27 

E. 
28 
Question 3
Given two sides and an angle of a triangle. Solve the triangle.B = 85°, b = 5, a = 25
A. 
No triangle 

B. 
A = 40°, C = 57°, c = 30 

C. 
A = 40°, C = 57°, c = 32 

D. 
A = 41°, C = 57°, c = 30 

E. 
A = 42°, C = 57°, c = 34 
Question 4
Given two sides and an angle of a triangle. Solve the triangle.A = 15°, a = 30, b = 30
A. 
B = 150°,C = 15°, c = 57.96 

B. 
No triangle 

C. 
B = 15°, C = 150°, c = 57.96 

D. 
B = 15°,C = 60°, c = 22.5 

E. 
B = 150°,C = 15°, c = 22.5 
Question 5
A triangle has sides a = 5, b = 5, c = 15, determine the three angles.
A. 
No Triangle 

B. 
A = 34°, B = 78°, C = 78° 

C. 
A = 78°, B = 78°, C = 24° 

D. 
A = 39°, B = 79°, C = 22° 

E. 
A = 78°, B = 24°, C = 78° 
Question 6
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. 
14 square meters 

B. 
16 square meters 

C. 
13 square meters 

D. 
None of the above 

E. 
11 square meters 
Question 7
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. 
32 square inches 

B. 
12 square inches 

C. 
10 square inches 

D. 
34 square inches 

E. 
11 square inches 
Question 8
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 = 60.5 

B. 
A= 40° a = 21.4 

C. 
A= 40° a = 20.4 

D. 
A= 40° a = 51.42 

E. 
A= 40° a = 60.5 
Question 9
A. 
A = 125°, B = 24°, C = 31° 

B. 
A = 31°, B = 125°, C = 24° 

C. 
A = 125°, B = 31°, C = 24° 

D. 
A = 31°, B = 24°, C = 125° 

E. 
None of the Above. 
Question 10
Given a triangle has angles A = 35° and C = 80°, determine angle B.
A. 
B = 55° 

B. 
B = 50° 

C. 
B = 65° 

D. 
B = 55° 

E. 
B = 55° 
Question 11
A triangle has the following measurements: A = 120° B = 40° c = 7. Determine side a.
A. 
a = 13.16 

B. 
a = 3.38 

C. 
a = 3.38 

D. 
a = 6.55 

E. 
a = 17.72 
Question 12
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. 
87 square feet 

B. 
90 square feet 

C. 
91 square feet 

D. 
84 square feet 

E. 
81 square feet 
Question 13
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. 
3,051.85 square feet. 

C. 
5,061.65 square feet. 

D. 
3,055.85 square feet. 

E. 
8,051.85 square feet. 
Question 14
If a triangle has sides a = 6, b = 15, c = 12, determine angle C.
A. 
C = 19.65° 

B. 
C = 84.77° 

C. 
C = 86.35° 

D. 
C = 49.46° 

E. 
C = 55.56° 
Question 15
A triangle has the following measurements: A = 10°, C = 140°, a = 50. Determine angle B and the lengths of side b.
A. 
B = 37.2°, b = 334.2 

B. 
B = 30°, b = 143.97 

C. 
B = 36.8°, b = 267.7 

D. 
None of the above 

E. 
B = 37.2°, b = 27.9 
Question 16
A triangle has the following measurements: A = 25°, B = 50°, c = 20. Determine the lengths of sides a and b.
A. 
None of the above 

B. 
a = 60, b = 33.9 

C. 
a = 21.5, b = 12.1 

D. 
a = 8.75, b = 15.86 

E. 
a = 12.1, b = 21.5 
Question 17
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. 
31 square feet 

B. 
24 square feet 

C. 
22 square feet 

D. 
34 square feet 

E. 
32 square feet 
Question 18
A. 
A = 58.0°, B = 34.77°, C = 87.42° 

B. 
A = 35°, B = 86°, C = 59° 

C. 
A = 58.8°, B = 34.77°, C = 86.42° 

D. 
A = 48.8°, B = 34.77°, C = 66.42° 

E. 
A = 35.8°, B = 59.5°, C = 86.7° 
Question 19
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 = 31.31° 

B. 
A = 41°, C = 57°, 

C. 
B = 88.69°, C = 30.31° 

D. 
B = 68.69°, C = 30.31° 

E. 
A = 90°, C = 30° 
Question 20
A triangle has sides a = 6, c = 8, and angle B = 125° Determine angle A.
A. 
A = 20.66° 

B. 
A = 21.67° 

C. 
A = 25.55° 

D. 
A = 23.25° 

E. 
A = 20.70° 
Subject  Mathematics 
Due By (Pacific Time)  12/27/2014 04:00 pm 
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