A square area (on the surface of the earth) with side $100$ m and uniform height, appears as $1 \: cm^2$ on a vertical aerial photograph. The topographic map shows that a contour of $650$ m passes through the area. If focal length of the camera lens is $150$ mm, the height from which the aerial photograph was taken, is

1. $800$ m
2. $1500$ m
3. $2150$ m
4. $3150$ m
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