An MTN mask is erected at a point P in ilaro town. At a point B due west, The angle of elevation of its top is β and at point C due south, the angle of elevation is α. With the aid of an appropriate diagam. show that the angle of elevation of the top from a point due south of B and due west of C is cot^(−1) [cot^2 (β) + cot^2 (α)]^(1/2)


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Question Number 6723 by Tawakalitu. last updated on 16/Jul/16

$A n M T N m a s k i s e r e c t e d a t a p o i n t P i n i l a r o t o w n . A t a p o i n t$ $B d u e w e s t, T h e a n g l e o f e l e v a t i o n o f i t s t o p i s β a n d a t p o i n t$ $C d u e s o u t h, t h e a n g l e o f e l e v a t i o n i s α . W i t h t h e a i d o f a n$ $a p p r o p r i a t e d i a g a m . s h o w t h a t t h e a n g l e o f e l e v a t i o n o f t h e t o p$ $f r o m a p o i n t d u e s o u t h o f B a n d d u e w e s t o f C i s$ ${c o t}^{- 1} {[{c o t}^{2} (β) + {c o t}^{2} (α)]}^{\frac{1}{2}}$
Commented by Tawakalitu. last updated on 16/Jul/16

$p l e a s e h e l p$
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