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August 22, 2014

August 22, 2014

Posted by **alex** on Tuesday, July 19, 2011 at 11:01am.

- algebra -
**Henry**, Tuesday, July 19, 2011 at 3:55pmWe need to form 2 rt triangles with a common ver. side.

First, draw a rectangle with the long

side parallel to the x-axis. Then draw

a diagonal from the lower Lt corner to

the upper rt corner. This is the hyp

of the larger triangle. From a point near the center of the hor side, draw

another hyp to the upper rt corner. This is the hyp of the smaller

triangle.

The angle bet. the hyp of larger tri-

angle and hor is 40 deg. The 60-degree

angle is bet hyp and hor of smaller triangle.

The dist. bet. the 2 hyp is 200 ft Label the remaining dist. X ft and the

ver side is h for ht of tree.

Width = 200 + X.

tan60 = h/x,

h = xtan60.

tan40 = h/(200+x),

h = (x+200)tan40.

xtan60 = (x+200)tan40,

xtan60 = xtan40 + 200tan40,

xtan60 - xtan40 = 200tan40,

1.732x - 0.8391x = 167.82,

0.8929x = 167.82,

X = 188.

Width = 200 + 188 = 388 Ft.

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