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September 2, 2014

September 2, 2014

Posted by **Dominic** on Wednesday, September 21, 2011 at 3:13am.

- trig -
**Reiny**, Wednesday, September 21, 2011 at 8:05amDraw the woman on the hill with her line of sight touching the pole somewhere in the middle.

label her line of sight x, the top part of the pole h and the bottom part of the pole 65-h

You now have 2 right-angled triangles

for the top one:

tan18° = h/x

h = xtan18

for the bottom part:

tan14 = (65-h)/x

xtan14 = 65-h

h = 65 - xtan14

then xtan18 = 65 - xtan14

xtan18 - xtan14 = 65

x(tan18-tan14) = 65

x = 65/(tan18+tan14) = 113.2

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