Expert: Richard J. Raridon - 1/3/2012

Question
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
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
Here's some of them that I had time for.
1. I get 7.42
2. 4.13 hours
3. 388 ft
4. 10.5 (not legitimate to list 7 digits)
5. I got 294
10. 117l95
13. 2.8284
14. -0.9380
15. -1.2322
16. -1.6040
17. y = -x+2
18. II
19. III
20. IV
21. I
22. III
24. 4
25. 0.5
26. 1
27. -0.5
28. -1.414
29. -1.732
30. 1.414