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प्रश्न
The ratio of the length of a vertical rod and the length of its shadow is `1 : sqrt(3)`. What is the angle of elevation of the sun at that moment?
बेरीज
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उत्तर
Given: The lengths of the vertical rod and its shadow are in the ratio `1 : sqrt(3)`.
Let the rod's height = h and shadow = `sqrt(3) xx h`.
For angle of elevation θ,
`tan θ = "height"/"shadow"`
= `h/(sqrt(3) xx h)`
= `1/sqrt(3)`
So `θ = arctan(1/sqrt(3))` = 30°.
The angle of elevation of the sun is 30°.
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