Question

From a point p on the ground the angle of elevation of the top of a 10 m tall building is 30 degree of a flag is hosted at the top of the building and i am the angle of elevation of the top of the flagstaff from p is 45 degree find the length of the flagstaff and the distance of the building from the p

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]

I HOPE ITS HELFUL

Answer 2

I think it may help u!!!