Question 1183836
Draw this
The tower + flagpole is the opposite to angles 40 and 50
The 10 m distance is adjacent.
So tan 40=x/10, where x is the height of the tower.
x=10 tan 40 or 8.39m
to the height of the flagpole is y
tan 50=y/10
y=10 tan 50 or 11.92 m
The tower is common to both x and y
So height of flag pole is 11.92 m-8.39 m=3.53 m