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