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December 22, 2014

December 22, 2014

Posted by **vad** on Tuesday, January 4, 2011 at 12:57pm.

- trigonometry -
**drwls**, Tuesday, January 4, 2011 at 1:36pmLet H be the altitude (which you already know), and D be the horizontal distance from the plane to the nearest bank of the river. Let w be the width of the river.

H/D = tan 60

H/(D + w) = tan 45

Not that the second equation implies that

H = D + w

and the first equation implies that

H = sqrt3 * D

Solve for w in terms of H, using substitution to eliminate D.

H = H/sqrt3 + w

H(1 - 1/sqrt3) = w

- trigonometry -
**Sbulu**, Tuesday, February 18, 2014 at 2:25amShut up

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