Hi,

Determine the height of the hill:

Letting x be the shorter distance to the Hill and h the height

Using opp/adj  tan(22)  &  tan(38) 

tan(22) = h/(x+700)             and  tan(38) = h/x  0r h =  tan(38)x

Substituting for h

tan(22) =  tan(38)x/(x+700)

tan(22)(x+700)=tan(38)x   

   

Using calculator

 x = 749.5m   and h = 585.7m   

Wish You the Best in your Studies. 

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