Question

the slope of a hill makes an angle of 60 degree. if horizontal plane if it takes 500 m to reach at the top of the hill . find the hieght of hill

Answer 1

I hope my answer is correct. .

Answer 2

$Let \: the \: height \: of \:hill = BC$

$Distance \: travelled (AB) = 500 \: m$

$Slope \: of \: the : hill (m) = tan 60\degree$

$tan 60 \degree = \frac{BC}{AB}$

$\implies \sqrt{3} = \frac{BC}{500}$

$\implies BC = 500\sqrt{3} \: m$

$Height \:of \:Hill = 500 \times 1.732 \\= 866 \:m$

Therefore.,

$\red {Height \:of \:Hill} \green {= 866\:m }$

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