Asked by Jamika

An airplane traveling east at a speed of 270 km/h encounters a wind of 75 km/h what is the resulting speed of the plane if:
- The wind is blowing east.
- The wind is blowing west.
- The wind is blowing north.

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Answered by MathMate
Airplane speed = <270,0>
(components in the x,y directions)

Wind speed 75 km/hr eastwards
=<75,0>

Resultant speed
= <270,0>+<75,0> = <345,0>
= 345 km/hr eastwards.

Wind speed blowing 75 km/h west
Resultant
=<270,0>+<-75,0>
=<195,0>
=195 km/hr eastwards

Wind blowing north
Resultant <i>speed</i>
=<270,0>+<0,75>
=<270,75>
=√(270²+75²)
=280.2 km/h approximately
Answered by Jamika
Thank you so much for your help, I was stuck on this question forever!
Answered by MathMate
You're welcome!
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