I need full solutions to the following questions.

Q1) A pilot sets her airspeed at 500 km/h heading N65degreesE. A strong wind is blowing at 55 km/h from the direction of S40degreesE.

1. Draw aposition diagramto illustrate the word problem.

1. Draw avector diagramusing the vectors in the problem to illustrate a vector representing the ground velocity. Attention to scale is important.

For Question 1, using a method of your choice, determine the ground speed (to one decimal place) and the direction of the airplane relative to the ground (to the nearest whole degree).

For Question 1, state the direction using quadrant bearings.

Be sure to use proper notation throughout solution and provide sufficient evidence.

Q2) Determine the angle between the following vectors, to the nearest whole degree.

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