Answer
$16.98m $
Work Step by Step
As shown in the figure, we are given
$\bar{BC}=10$ m,
BT angle to horizontal of $35^\circ,$
CT angle to horizontal of $50^\circ$.
Assume the height of the pols is $ x $.
We have:
$\frac{x}{tan(35)}-\frac{x}{tan(50)}=10$,
Solve for x:
$ x=16.98m $