Expert: Richard J. Raridon - 7/30/2010

Question
1.   In triangle ABC, c = 10 and Ð A = Ð B = 40°. Find the length of the median to segment AC.
  8.3909      7.7878
  6.4279      5.4673
2.   Jan is flying a plane on a triangular course at 320 mi/hr. She flies due east for two hours and then turns right through a 65° angle. How long after turning will she be exactly southeast of where she started?

  9.75 hours      6.23 hours
  4.13 hours      5.25 hours
3.   A vertical television mast is mounted in the center of the roof of a building. From a point 750 feet from the center of the base of the building, the angles of elevation to the bottom and top of the mast measure 34° and 50° respectively. How tall is the mast to three significant digits?
  388 ft      287 ft
  276 ft      425 ft
4.   A monument consists of a flagpole 15 m tall standing on a mound in the shape of a cone with vertex angle 140°. How long a shadow does the pole cast on the cone where the angle of elevation from the end of the shadow to the sun is 62°?
  10.52421 m      21.3793 m
  17.8218 m      12.3452 m
5.   From the top of an observation post that is 90 m high, a ranger sights a campsite at an angle of depression of 10°. Turning in a different direction, the ranger sees another campsite at an angle of depression of 13°. The angle between these two lines of sight is 35°. How far apart are the campsites?
  574 m      432 m
  82 m      298 m
6.   Find the area of the given triangle with a = 18, b = 10, and angle C = 45°.
  70.71      89.29
  58.2345      63.6396
7.   Find the area of the given triangle with angle A = 70°, b = 15, and c = 36.
  92.34      253.72
  507.43      82.67
8.   Find the area of the given triangle with angle B = 20°, angle C = 115°, and c = 16.
  42.6954      34.1563
  26.685      54.6723
9.   Find the area of the given triangle with a = 7, b = 12, and c = 8.
  13.5      47.78
  26.9061      64.862
10.   Find the area of a rhombus that has a perimeter 48 and an angle of 55°.
  205.6533      82.5950
  94.6753       117.95
11.   The area of triangle ABC is 20 square units. If angle A = 130° and b = 6, find the value of c.
  8.7027      5.594
  10.3715      2.3456
12.   The angles of a triangle are 25°, 45°, and 110°. What is the length of the longest side if the area of the triangle is 75 square units and the shortest side is 9.77 units.
  39.71      21.71
  s="testchoicedef">27.64      42.36
13.   Find the area of a regular octagon inscribed in a unit circle (a circle with a radius equal to 1).
  2.8284      4
  3.3190      6
14.   Find: tan(-43° 10')
  -0.9358      -0.9380
  -0.9325      -0.9346
15.   Find: csc(305° 45')
  -1.4264      0.5735
  -1.2322      0.4562
16.   Find: sec(488° 34')
  -1.6040      -1.7880
  -1.21198      -1.45624
17.   Write an equation for a line through (-3, 5) and (2, 0).
  y = -2 + x      y = x - .5
  y = x + 2      y = -x + 2
18.   Identify the quadrant in which the angle terminates: 140
  III      I
  IV      II
19.   Identify the quadrant in which the angle terminates: 238
  III      I
  IV      II
20.   Identify the quadrant in which the angle terminates: -50
  I      II
  III      IV
21.   Identify the quadrant in which the angle terminates: 65
  I      II
  III      IV
22.   Identify the quadrant in which the angle terminates: -150
  I      II
  III      IV
23.   Solve the equation: 42x - 3 = 64
  -2      4
  3      -6
24.   Solve: log8 x = 2/3
  6      4
  2      10
25.   Find the trig ratio: sin 30
  0.4      0.5
  0.6      0.8
26.   Find the trig ratio: cot 225
  1      2
  3      4
27.   Find the trig ratio: cos 240
  -1      1
  -2      -0.5
28.   Find the trig ratio: csc 315
  -2.345      1.414
  -1.414      1.731
29.   Find the trig ratio: tan 120
  1.732      2.456
  -1.732      -2.456
30.   Find the trig ratio: sec 315
  -0.5      -1.723
  -1.414      1.414

Answer
1. y = 9.40
2. 4.13 hours
3. 388 ft
6. 63.64
7. 253.72
8. 34.1563
9. 26.9061
10. 117.95
12. don't need area, 21.71
13. 2.828
14. I'm going to spend time working problems that you can do easily on a calculator
17. y = -x+2
18. II
19. III
20. IV
21. I
22. III
23. don't understand how you wrote it.
24. 4