A-vertical-post-of-height-h-m-rises-from-a-plane-which-slopes-down-towards-the-South-at-an-angle-to-the-horizontal-Prove-that-the-length-of-its-shadow-when-the-sun-is-S-W-at-an-elevation-is-

Question Number 115642 by 24224 Opiyo Kamuki last updated on 27/Sep/20

A v e r t i c a l p o s t o f h e i g h t h m r i s e s f r o m a p l a n e w h i c h

s l o p e s d o w n t o w a r d s t h e S o u t h a t a n a n g l e

α t o t h e h o r i z o n t a l . P r o v e t h a t t h e l e n g t h

o f i t s s h a d o w w h e n t h e s u n i s S θ W

a t a n e l e v a t i o n β i s

\frac{h \sqrt{(1 + {t a n}^{2} α {c o s}^{2} θ)}}{t a n β + t a n α \cos θ} m