+0  
 
0
677
1
avatar
A airplane travels N 62 degrees E at 400 mi/hr. there is wind at 20mi/hr due west. what is the actual speed of the plane.

I know how the picture looks but i dont know how to solve the length without using trigonometry because i doesnt make a right triangle. please help
 Jan 24, 2014
 #1
avatar+118654 
0
Guest:

A airplane travels N 62 degrees E at 400 mi/hr. there is wind at 20mi/hr due west. what is the actual speed of the plane.

I know how the picture looks but i dont know how to solve the length without using trigonometry because i doesnt make a right triangle. please help



Why do you think that you are supposed to do this without trigonometry? You can't.

I am very rusty at questions like this but to the best of my knowledge this answer is correct

Looking at my diagram I get
Easterly velocity = (400cos28) - 20 km/hour
Northerly velocity = 400sin28 km/hour

Finding the norm of the vectors, I get

velocity =SQRT{ [(400cos28) - 20] 2 + [ 400sin28 ] 2 }

oh dear, I forgot to put the miles into the 'miles/hour' on my north and east vectors. Oh well, they are there, they are just invisable.

140124 Vector question.JPG
 Jan 24, 2014

2 Online Users

avatar