Question 1207336
first sketch:

{{{ drawing( 600, 600, -10, 10, -10, 10,
blue(line(0,0.1,9,.1)),blue(line(0,0.1,0.1,7)),
blue(line(0.1,7,9,.1)),green(line(0,1.5,9,1.5)),red(line(7.2,0.1,7.2,1.5)),
locate(7.2,1.9,E),locate(7.3,-.3,Z),
locate(-0.2,0.2,Y),locate(-0.3,7,X),
locate(0.1,0.8,1.5),locate(7.2,0.8,1.5),locate(4.5,-0.5,12),locate(6,2,50),locate(0.2,4,x),
graph( 600, 600, -10, 10, -10, 10, 0)) }}} 


let the height of pole be {{{h}}}


then{{{ h=x+1.5m}}}


using tangent rule we have

{{{x/12m=tan(50)}}}

{{{x=12m*tan(50)}}}

{{{x=14.3m}}}


so, the height is

{{{h=14.3m+1.5m}}}

{{{h=15.8m}}}