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From a tower an object was observed on the ground at a depression o below the horizon. A gun was fired at an elevation a, but the shot missing the object, stuck the ground at a point whose depression was . Prove that the correct elevation of the gun is given by cos 0 sin(0+ o) cos a sin(a + o) = cos² o sin v cos² sin o

From a tower an object was observed on the ground at a depression o below the horizon. A gun was fired at an elevation a, but the shot missing the object, stuck the ground at a point whose depression was . Prove that the correct elevation of the gun is given by cos 0 sin(0+ o) cos a sin(a + o) = cos² o sin v cos² sin o

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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From a tower an object was observed on the ground at a depression d below the horizon. A gun was fired at an elevation a, but the shot missing the object, stuck the ground at a point whose depression was . Prove that the correct elevation 6 of the gun is given by cos 0 sin(0 +0) cos a sin(a +o) cos? o sin cos? sin o
Transcribed Image Text:From a tower an object was observed on the ground at a depression d below the horizon. A gun was fired at an elevation a, but the shot missing the object, stuck the ground at a point whose depression was . Prove that the correct elevation 6 of the gun is given by cos 0 sin(0 +0) cos a sin(a +o) cos? o sin cos? sin o
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