Find the angle of elevation of the sun when the length of the shadow of a tree is √3 times the height of the tree.
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Answer:
Step-by-step explanation:
Let AB be the tree and AC be its shadow,
Then, the shadow of a tree is √3 times the height of the tree.
Let height of tree be h then height of shadow will be √3h
Lets assume h be the height of the tree.
Using trigonometric ratio,
We have to find the angle of elevation of the sun that is
perpendicular = AB and base = AC
Substitute, we get,
simplify, we get,
we know
Thus
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