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Horizon distance formula altitude calculation

1000BeginnerAlgebra

South African Mathematics Olympiad First Round

At a height of *h* metres above sea level, the distance $d$, in kilometres, to the visible horizon is given approximately by the formula $d = 8\sqrt{\frac{h}{5}}$. A mountaineer on the side of Table Mountain can see a distance of $80$ kilometres to the horizon. How high, in metres, is the mountaineer above sea level? (A) 1 000 (B) 500 (C) 650 (D) 250 (E) 400
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