Solutions to Oblique Triangles — Engineering Board Exam Practice Questions

21 free engineering board exam reviewer questions on Solutions to Oblique Triangles (Trigonometry), each with the correct answer and a worked solution.

  1. ECE Board April 1998: Points A and B 1000 m apart are plotted on a straight highway running East and West. From A, the bearing of a tower…
  2. GE Board August 1994: A ship started sailing S42°35'W at the rate of 5 kph. After 2 hours, ship B started at the same port going N46°20'W…
  3. ME Board April 1993: An aerolift airplane can fly at an airspeed of 300 mph. If there is a wind blowing towards the east at 50 mph, what…
  4. CE Board November 1997: Points A and B are 100 m apart and are of the same elevation as the foot of a building. The angles of elevation of…
  5. ME Board April 1997: An observer wishes to determine the height of a tower. He takes sights at the top of the tower from A and B, which…
  6. EE Board October 1997: The two legs of a triangle are 300 and 150 m each, respectively. The angle opposite the 150 m side is 26°. What is…
  7. EE Board October 1997: The sides of a triangular lot are 130 m, 180 m and 190 m. The lot is to be divided by a line bisecting the longest…
  8. A triangle has two sides of lengths 20 and 30 and an area of 150. Find the smallest possible length of the third side.
  9. In triangle ABC, A=40°, a=9 and b=12. Find the smaller possible value of side c.
  10. Two observers A and B, 500 m apart on a level road, see an airplane in the vertical plane through them. The airplane is on the same side…
  11. The sides of a triangle are 10, 14 and 18. Find the largest angle, in degrees.
  12. The sides of a parallelogram are 10 and 14, and the angle between them is 65°. Find the length of the longer diagonal.
  13. The diagonals of a parallelogram are 16 and 12 long and intersect at an angle of 50°. Find the area of the parallelogram.
  14. Two ships leave port at the same time. One sails on a bearing of N 20° E at 18 knots and the other on a bearing of S 70° E at 24 knots…
  15. Find the area of a triangle whose sides are 13, 14 and 15.
  16. In triangle ABC, a=14, b=20 and C=48°. Find the area of the triangle.
  17. Points A and B are 120 m apart on level ground. A point C is sighted so that angle CAB=75° and angle CBA=62°. Find the distance AC in…
  18. In triangle ABC, A=30°, a=8 and b=12. Find the largest possible length of side c.
  19. The sides of a triangle are 7, 8 and 9. Find its smallest angle, in degrees.
  20. In triangle ABC, a=7, b=9 and C=60°. Find side c.
  21. In triangle ABC, A=40°, B=60° and a=10. Find side b.