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Question Number 45122 by MrW3 last updated on 09/Oct/18

Commented by MrW3 last updated on 09/Oct/18

$A m o u n t a i n h a s t h e s h a p e o f a s e m i$ $s p h e r e w i t h r a d i u s R . F r o m a p o i n t A$ $a t t h e f o o t o f m o u n t a i n t o a p o i n t B$ $o v e r p o i n t A t w o p a t h s w i l l b e b u i l t .$ $O n e p a t h s h o u l d h a v e t h e s h o r t e s t$ $l e n g t h . T h e o t h e r o n e s h o u l d h a v e$ $a n u n i f o r m s l o p e . F i n d t h e l e n g t h e s$ $o f b o t h p a t h s i n t e r m s o f R a n d θ .$
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