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
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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
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I think it may help u!!!
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