make a diagram, label the base of the tower T, and let the height of the tower be h
let AT=x, then TB = 1.1-x
in 1st triangle:
tan6 = h/x ---> h = xtan6
in 2nd triangle:
tan 13 = h/(1.1-x) --> h = (1.1-x)tan13
then xtan6 = 1.1tan13 - xtan13
xtan6 + xtan13 = 1.1tan13
x(tan6 - tan13) = 1.1tan13
x = 1.1tan13/(tan6 + tan13)
once you found x, sub that into h = xtan6
to get the height.
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