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April 24, 2014

April 24, 2014

Posted by **Winsel** on Tuesday, August 10, 2010 at 10:15am.

- Trigonometry -
**Henry**, Tuesday, August 10, 2010 at 4:48pmThe line of sight of the 72 deg angle

is represented by the hyp. of a rt triangle. The ht. of the observer above

the bottom of tree represents the ver.

side of the triangle.The hor. side is

the dist. from the tree to the bottom

of tower.The line of sight of the 12

deg. angle is the hyp of a 2nd rt.

triangle. Its' hor. side is = to hor.

side of 1st triangle.

Tan(72,20min) = 73.5 / X,

X = 73.5 / Tan(72,20min) = 23.41 Ft.

= hor. dist. from tree to tower.

Tan(12,40min) = Y / 23.41 ,

Y = 23.41 * Tan(12,40min) = 5.26 Ft

= ver. side of 2nd triangle.

h = 73.5 - 5.26 = 68.2 Ft. = ht.

of tree.

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