Question

a tree stands on a horizontal plane. Find the height of the tree

Answer 1

$Let \: Height \:of \: Tree = AB$

$Shadow \:of \:the \:tree = BC$

$Angle\: of \:elevation = \theta$

$In \:\triangle ABC, \:angle B = 90\degree$

$tan \theta = \frac{AB}{BC}$

$\implies AB = BC \times tan \theta$

Therefore.,

$\red {Height \:of \: Tree ( AB ) } \green {= BC \times tan \theta }$

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