Calculating the necessary aircraft heading to counter a wind velocity and proceed along a desired bearing to a destination is a classic problem in aircraft navigation. It makes good use of the law of sines and the law of cosines. Suppose you wish to fly in a certain direction relative to the ground. The wind is blowing at 50mph at an angle of 40 degrees to that direction. Your plane is flying at 100mph with respect to the surrounding air. The situation is illustrated in this Figure (where your desired direction of travel is due East). wind G0mph plane 100Mph Then you head into the wind at an angle of ground X mph degrees (enter your value of a), and your ground speed is miles per hour (enter your value of 2). anot the angnle a and the law of cosines to get the ground speed.

Calculating the necessary aircraft heading to counter a wind velocity and proceed along a desired bearing to a destination is a classic problem in aircraft navigation. It makes good use of the law of sines and the law of cosines. Suppose you wish to fly in a certain direction relative to the ground. The wind is blowing at 50mph at an angle of 40 degrees to that direction. Your plane is flying at 100mph with respect to the surrounding air. The situation is illustrated in this Figure (where your desired direction of travel is due East). wind G0mph plane 100Mph Then you head into the wind at an angle of ground X mph degrees (enter your value of a), and your ground speed is miles per hour (enter your value of 2). anot the angnle a and the law of cosines to get the ground speed.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.2: Trigonometry Of Right Triangles

Problem 68E: Distance to the moon To find the distance to the sun as in Exercise 67, we needed to know the...

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