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Determine the plane's ground velocity.

  • Thread starter a.a
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  • #1
a.a
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Homework Statement



1 A light plane is travelling at 175km/h on a heading of 8° east of north in a 40-km/h wind from 80° east of north. Determine the plane's ground velocity.

Homework Equations



cosine law


The Attempt at a Solution


I found the resultant to be 191 km/h but the answer is 167 km/h
 
Last edited:

Answers and Replies

  • #2
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Show us your working a.a it will help us see where you have gone wrong if you have. :smile:
 
  • #3
tiny-tim
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I found the resultant to be 191 km/h but the answer is 167 km/h
Hi a.a! :smile:

You've added the 2*40*175*cos72 instead of subtracting it.

I expect you've drawn the triangle wrong.

If the velocity of the plane the air and the ground are P A and G, then the question asks for P - G, which is (P - A) + (A - G).

Draw the triangle so that the arrows go the right way. :smile:
 

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