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Question
What is the angle of elevation of the Sun when the length of the shadow of a vetical pole is equal to its height?
Solution
Let C be the angle of elevation of sun is θ.
Given that: Height of pole is h meters and length of shadow is h meters. Because length of shadow is equal to the height of pole.
Here we have to find angle of elevation of sun.
So we use trigonometric ratios.
In a triangle ABC,
`⇒ tan θ=(AB)/(BC)`
`⇒ tan θ = h/h`
`⇒ tan θ=1`
`⇒θ=45°`
Hence the angle of elevation of sun is `45°`
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