A plane flies at a speed of 380mph on a bearing of S45°E. Relative to the ground, the plane's speed is measured as 335mph with a true bearing of S35°E. Round answers to the nearest whole unit. (a) Express the velocity of the plane Vp relative to the air in terms of i and j (b) Express the true velocity of the plane Vt in terms of i and j (c) Express the velocity of the wind Vw in terms of i and j and find the speed of the wind rounded to the nearest whole number.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
Problem 26E
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A plane flies at a speed of 380mph on a bearing of S45°E. Relative to the ground, the plane's speed is measured as 335mph with a true bearing of S35°E. Round answers to the nearest whole unit.

(a) Express the velocity of the plane Vp relative to the air in terms of i and j

(b) Express the true velocity of the plane Vt in terms of i and j

(c) Express the velocity of the wind Vw in terms of i and j and find the speed of the wind rounded to the nearest whole number.

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