In a perspective drawing, a 3 m tall vertical pole stands at a distance of 30 m from the picture plane. If the horizon line is at 1.5 m height and the station point is 60 m from the picture plane, what is the apparent height of the pole above the horizon line on the picture plane?

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EEJ MAIN Aptitude QUESTION #11026

Question 1

In a perspective drawing, a $3$ m tall vertical pole stands at a distance of $30$ m from the picture plane. If the horizon line is at $1.5$ m height and the station point is $60$ m from the picture plane, what is the apparent height of the pole above the horizon line on the picture plane?

$0.5$ m
$1.0$ m✔️
$1.5$ m
$2.0$ m

Correct Answer Explanation

Actual height above horizon = $3 - 1.5 = 1.5$ m. The scaling factor is $\frac{SP}{SP + d} = \frac{60}{60+30} = \frac{2}{3}$. Apparent height above horizon = $1.5 \times \frac{2}{3} = 1.0$ m.

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