Vector: an airplane is flying from toronto pearson airport to new york laguardia

[wine]

an airplane is flying from toronto pearson airport to new york laguardia airport, a distance of 750 km on a bearing of 160. the cruising speed of the airplane is 450km/h, if there is a wind 50km/h blowing from (S40E)
a. What heading should the pilot steer to reach new york?
b. what will be the groundspeed of the plane?
c. How long will the trip take?
I can only rearrange the triangle.Thank you!!!

 

[Deleted member 4993]

an airplane is flying from toronto pearson airport to new york laguardia airport, a distance of 750 km on a bearing of 160. the cruising speed of the airplane is 450km/h, if there is a wind 50km/h blowing from (S40E)
a. What heading should the pilot steer to reach new york?
b. what will be the groundspeed of the plane?
c. How long will the trip take?
I can only rearrange the triangle.Thank you!!!

What are your thoughts?

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[wine]

I get
the angle equal=6 degree
R=465

 

[stapel]

I get
the angle equal=6 degree
R=465

How did you "get" this? By what reasoning and steps?

Please reply showing all of your work, using standard English in complete sentences. Thank you!

 

[wine]

I first rearrange the triangle so the vector is head-to-tail (when added)
then i do sine law: sin 70/450=sinangle/50
angle=6 degree
then i use sine law to find the resultant which is 465 km/h but i am not sure if this is right