Question

a vertical tower stands on a horizontal plane is surmounted by a flagstaff of height is 7m from a point on the plane , the angle of elevation of the bottom of the flagstaff is 30 degree and that of the flagstaff is 45 degree. find the height of the tower

Answer 1

let's make a trainglewhich make a angel BOA=45degree
C is centre of AB ,and make a angle COA=30 degree
                               [make a diagram which i mentioned]

then CB=7cm
let suppose height AB=h
OA/AB=cot45 degree=1
OA=AB=h+7                                                    .....by 1

OA/AC=cot30 degree=underroot 3
OA/h=underroot 3 
OA=h underroot3                                              .....by2

by using 1 and 2
h+7=h underroot 3
7/ underroot3-1   *underroot3+1/ underroot 3-1

=9.562 cm


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