मराठी

The Length of the Shadow of a Pillar is 1 √ 3 Times the Height of the Pillar . Find the Angle of Elevation of the Sun . - Mathematics

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प्रश्न

The length of the shadow of a pillar is `1/sqrt(3)` times the height of the pillar . find the angle of elevation of the sun .

बेरीज
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उत्तर

Let AB be the pillar and BC be its shadow.

Let h be the height of the pillar . Then,

BC = `1/sqrt(3)`h

In ΔABC,

tanθ = `"AB"/"BC"`

⇒ `tanθ = h/(h/sqrt(3)) = sqrt(3)`

But , `tan60^circ = sqrt(3)`

∴ `θ = 60^circ`

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पाठ 22: Heights and Distances - Exercise

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फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 22 Heights and Distances
Exercise | Q 4
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