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प्रश्न
The length of the shadow of a vertical pole is `sqrt(3)` times its height. Find the angle of elevation of sun.
योग
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उत्तर
Given: A vertical pole of height h casts a shadow of length `sqrt(3) xx h` and θ is the angle of elevation of the sun.
Step-wise calculation:
1. Let pole = h and shadow = `sqrt(3) xx h`.
2. In the right triangle.
`tan θ = "Opposite"/"Adjacent"`
= `h/(sqrt(3) xx h)`
3. `tan θ = 1/sqrt(3)`
= tan 30°
4. Therefore, θ = 30°.
The angle of elevation of the sun is 30°.
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