If the angle of elevation of the sun changes from 30 deg to 45 deg the length of the shadow of a pil...........

Quantitative Aptitude ( CCS) Trignometry

If the angle of elevation of the sun changes from 30° to 45°, the length of the shadow of a pillar decreases by 20 metres. The height of the pillar is

20(√3 - 1)m

20(√3 + 1)

10(√3 - 1)

10(√3 + 1)

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Explanation:

Let, the height of the pillar, AB = h metre.
When the sun's angle of elevation was 30°, then the length of shadow of the pillar is BD.
And, when the sun's angle of elevation is 45°, then the length of shadow of the pillar is BC = x metre (let).
When the sun changes from 30° to 45°, then the length of shadow of the pillar decreases CD = 20 (given)
∴ BD = BC + CD = (x + 20) m
In ΔABC,