Q. 19


The angle of ele

Answer :


https://gs-post-images.grdp.co/user_files/63094/15047/images/extra-9_files/44eg.gif

Let OP be the tower and let A and B be two points due south and east respectively of the tower such that OAP = α and OBP = β.

Let OP = h.


In ΔOAP, we have


tan α =
h / OA


OA = h cot α ……………. (i)


In ΔOBP, we have


tan β =
h / OB


OB = h cot β ……………… (ii)


Since OAB is a right angled triangle.

Therefore,


AB 2 = OA 2 + OB 2


d 2 = h 2 cot 2 α + h 2 cot 2 β


h =
[Using (i) and (ii)].

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