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The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is:

The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is: Correct Answer 45°

Height and Distance mcq solution image
Consider the diagram shown above where QR represents the tree and PQ represents its shadow
$$\eqalign{ & {\text{We}}\,{\text{have}},\,QR = PQ \cr & {\text{Let}}\,\angle QPR = \theta \cr} $$
$$\tan \theta = \frac{{QR}}{{PQ}} = 1$$     (since QR = PQ)
$$ \Rightarrow \theta = {45^ \circ }$$
i.e., required angle of elevation = 45°

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