salvadorjazmin75
25.03.2021 •
Mathematics
A small plane is flying northeast at a speed of 200 mph. A wind blows due west at 28 mph. Find the resultant speed and direction of the plane.
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Ответ:
The resultant speed = 181.3 mph
The final direction = 38.7° northeast.
Step-by-step explanation:
We need to find the component in the x-direction and in the y-direction of the speed:
For the plane:
For the wind we have:
Now, the total speed in the x-direction and in the y-direction is:
Hence, the resultant speed is:
Finally, the direction of the plane is:
The plane is moving at 38.7° northeast.
I hope it helps you!
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