ectorQuiz 6- Period plane flies at 650 mph on a bearing of 175.3. A 25 mph wind, from a direction of 266.6', blows against the plane. Find the resulting bearing of the plane and the speed....

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ectorQuiz 6- Period plane flies at 650 mph on a bearing of 175.3. A 25 mph wind, from a direction of 266.6, blows against th

math precalculus

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Answer 1

Answer #1

here we find using trigonometric calculations and vectors,

plane : < 650 cos 175.3⁰ , 650 sin 175.3⁰ >

= < -647.81 , 53.26 >

wind : < 25 cos 266.6⁰ , 25 sin 266.6⁰ >

= < -1.48 , -24.95 >

now simply add the vectors of cos and sin,

true velocity of plane : < -649.29 , 28.31 > ------> let be < a , b >

true speed of plane is simply the magnitude of the vectors

= media%2Fdd7%2Fdd79ca58-7c8c-47f4-a992-fe

ー649.292 +28.312 ー

649.90 mph

true direction of plane

2 tan-1 - tan1

28.31 -649.29 tan-1(

= -2.49⁰

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Answer 2

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ectorQuiz 6- Period plane flies at 650 mph on a bearing of 175.3. A 25 mph wind, from a direction of 266.6', blows against the plane. Find the resulting bearing of the plane and the speed....

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ectorQuiz 6- Period plane flies at 650 mph on a bearing of 175.3. A 25 mph wind, from a direction of 266.6', blows against the plane. Find the resulting bearing of the plane and the speed....

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ectorQuiz 6- Period plane flies at 650 mph on a bearing of 175.3. A 25 mph wind, from a direction of 266.6', blows against the plane. Find the resulting bearing of the plane and the speed....

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Add Answer to: ectorQuiz 6- Period plane flies at 650 mph on a bearing of 175.3. A 25 mph wind, from a direction of 266.6', blows against the plane. Find the resulting bearing of the plane and the speed....

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ectorQuiz 6- Period plane flies at 650 mph on a bearing of 175.3. A 25 mph wind, from a direction of 266.6', blows against the plane. Find the resulting bearing of the plane and the speed....