Discussion
In the given diagram, ovals are marked at different heights (\(h\)) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?
Answer: B
The top view is Q.
The hill rises steeply on the side near 0 km and falls gently on the far side, with its summit at about 0.22 km. The cross-sections higher up the hill are smaller ovals, and they are centred close to the summit, near the 0 km end. Seen from above, the nested ovals therefore crowd together close to the 0 km mark, where the slope is steep, and spread out on the far side, where the slope is gentle.
Q shows exactly this: the smallest ovals sit near the left, close to 0 km. P puts the summit at the far end, as if the gentle slope faced 0 km. R has evenly spaced, concentric ovals, which would describe a symmetric hill. S does not shift the ovals steadily in one direction.
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