Question

From a point on the ground the angle of elevation of a top of tower is 30 degree and that is the top of flagstaff fixed on the top of tower is 45 degree

Answer 1

IN ΔABP :-

COT 30° = AP/AB

√3 =  X/10

X = 10√3 CM

SO, AP = 10√3 CM

_________

IN ΔADP :-

TAN 45° = AD/AP

  1 = 10+BD/10√3

==> 10√3 = 10+BD

==> BD = 10√3-10

==> BD = 10[√3-1]

SO, LENGHT OF FLAGSTAFF = 10[√3-1]