A pilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowing at Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane with respect to the ground, Vpg? (A) 473.4 km/h (B) 315.6 km/h (C) 392.8 km/h (D) 552.3 km/h (E) 157.8 km/h

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Chapter2: Vectors
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pilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowing
at Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane with
respect to the ground, Vpg?
(A) 473.4 km/h
(B)
315.6 km/h
(C)
392.8 km/h
552.3 km/h
157.8 km/h
(D)
(E)
Transcribed Image Text:A pilot sets the plane due north, but flies at a speed with respect to air given by Vpa = 425 km/h. A wind is blowing at Vwg = 41 km/h with respect to the ground at an angle of 50° south of due east. What is the speed of the plane with respect to the ground, Vpg? (A) 473.4 km/h (B) 315.6 km/h (C) 392.8 km/h 552.3 km/h 157.8 km/h (D) (E)
Expert Solution
Step 1

Given that,

The speed of the plane with respect to air is vpa=425 km/h

The speed of the wind is vwg=41 km/h

The wind is blowing with respect to the ground at an angle of θ=50° south of due east.

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