It is found that on walking x meters towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60°. The height of the chimney is
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Given:
– Angle of elevation changes from 30° to 60° as we walk x meters towards the chimney.
Using tangent for both angles:
1. tan30° = h / d ⇒ d = h√3.
2. tan60° = h / (d – x) ⇒ d – x = h / √3.
Substitute d = h√3 into d – x = h / √3:
h√3 – x = h / √3.
Simplify:
x = h√3 – h / √3 = (2h) / √3.
Solve for h:
h = (√3 / 2) x.
This question related to Chapter 9 Mathematics Class 10th NCERT. From the Chapter 9 Applications of Trigonometry. Give answer according to your understanding.
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