Discussion
An observer, 1.5 meter tall is 28.5 meter away from a chimney. The angle of elevation of the top of the chimney from his eyes is 45°. Height of the chimney is
Answer: A
The chimney is 30 metres tall.
From the observer's eyes, the top of the chimney is at 45°, so the height above eye level equals the horizontal distance:
\[ \begin{aligned} h_{1} &= 28.5 \times \tan 45^{\circ} = 28.5\ \text{m} \\ H &= 28.5 + 1.5 = 30\ \text{m} \end{aligned} \]
The observer's eye height must be added, since the angle is measured from his eyes, not from the ground. The other options do not follow from the given distance and angle.
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