SOLUTION: A corporate jet has a speed of 600 miles per hour in still air. The jet travels directly north and encouters a 70 mile per hour wind blowing due east. Find the resulting speed of t

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Question 39699: A corporate jet has a speed of 600 miles per hour in still air. The jet travels directly north and encouters a 70 mile per hour wind blowing due east. Find the resulting speed of the plane. Round your answer to the nearest mile per hour.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
SPEED OF THE JET -->600mph. north (v)
Speed of the wind --->70mph. east (w)
Resulting speed ---> ||v||+||w||
Makes a 90 degree angle for wind and the jet hence resulting in a 45 degree angle.
EQUATION:
From cosine law:
||v||+||w||²=600%5E2%2B70%5E2-2%2870%29%28600%29cos45
||v||+||w||=553 (rounded)
Hence, the resulting speed is 553 mph.
Paul.