134k views
9 votes
A wind blowing in the direction 0o causes an airplane to drift up 15o from its' original heading of 90o. The ground speed is 336km/hr. Find the airspeed of the plane

1 Answer

4 votes

Answer:

324.6 km/hr

Explanation:

Since the plane drifts up 15° from its original heading of 90°, it is at a bearing of 90° - 15° = 75°.

Now, since its ground speed is 336 km/hr, its air speed, v is the horizontal component of its ground speed since the wind is blowing in the 0° direction. So, v = (336 km/hr)sin75°

= 324.55 km/hr

≅ 324.6 km/hr

User Hassaan Rabbani
by
3.2k points