Engineering Board Exam Reviewer · Solutions to Oblique Triangles · hard
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 should be the plane's compass heading in order for its course to be 30°? What will be the plane's ground speed if it flies in this course?
- 19.7°, 307.4 mph
- 20.1°, 309.4 mph
- 21.7°, 321.8 mph
- 22.3°, 319.2 mph
Answer
C. 21.7°, 321.8 mph
Solution
Setting up the vector equation (airspeed + wind = ground velocity) with heading and ground speed G: 300 +50=G 30° and 300 =G 30°. Solving simultaneously gives 21.7° and G 321.8 mph.
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