Question Part Points Submissions Used A pilot flies a plane at a speed of 750 km

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Question Part Points Submissions Used A pilot flies a plane at a speed of 750 km/h with respect to the surrounding air. A wind is blowing to the northeast at a speed of 80 km/h. In what direction must the plane be aimed so that the resulting direction of the plane is due north?
° from north
What is the ground speed of the aircraft?
km/h Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used A pilot flies a plane at a speed of 750 km/h with respect to the surrounding air. A wind is blowing to the northeast at a speed of 80 km/h. In what direction must the plane be aimed so that the resulting direction of the plane is due north?
° from north
What is the ground speed of the aircraft?
km/h A pilot flies a plane at a speed of 750 km/h with respect to the surrounding air. A wind is blowing to the northeast at a speed of 80 km/h. In what direction must the plane be aimed so that the resulting direction of the plane is due north?
° from north
What is the ground speed of the aircraft?
km/h Question Part Points Submissions Used

Explanation / Answer

velocity of pilot vp = 750 km/h

velocity of wind = 80 km/h (north east)

vpx = 80cos(45) = 56.57 km/h

sin(theta) = 56.57/750

theta = arcsin(56.57/750)

theta = 4.32 degrees west of north

vp = pw +pg

= 750i +80*cos(45) i+80sin(45)j

= 806.7 i +56.57 j

vp =(806.7^2 +56.57^2)^0.5

vp = 808.68 km/h

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