Question 1026412
Two right-triangles formed share a common side, being distance from the woman to the nearest point of the flag pole.  
u for upper part of the pole
d for lower part of the pole
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{{{system(tan(7)=u/x,tan(35)=d/x,u+d=14)}}}
Three equations in three unknown variables will allow for solving u, d, and especially x.


The analysis of question 1 takes that question only on its own and does not have any use of question 2 information.  This means, that from feet or from eyes-level, the woman's height was ignored for question 1.