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The angle of elevation of the sun when the length of the shadow of the tree is √3 times the height of the tree is​
  • a)
    300
  • b)
    900
  • c)
    600
  • d)
    450
Correct answer is option 'A'. Can you explain this answer?
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To determine the angle of elevation of the sun, we need to know both the length of the shadow of the tree and the height of the tree.

Let's assume the length of the shadow of the tree is "x" and the height of the tree is "h".

The angle of elevation of the sun can be found by using the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side.

In this case, the opposite side is the height of the tree (h) and the adjacent side is the length of the shadow of the tree (x).

Therefore, the tangent of the angle of elevation of the sun is given by:

tan(angle of elevation) = h / x

To find the angle of elevation, we can take the inverse tangent (also known as arctan) of both sides of the equation:

angle of elevation = arctan(h / x)

So, to calculate the angle of elevation of the sun, we need to know both the height of the tree and the length of its shadow.
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