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?
Show Hint
Contour maps or top views of hills are always represented by concentric closed curves (circles or ovals), with smaller curves indicating higher altitudes.
Step 1: Understand the given diagram.
The figure shows a hill with different horizontal cross-sections taken at increasing altitudes.
At each altitude, the horizontal cross-section is represented as an oval (ellipse-like curve).
Step 2: Interpret cross-sections.
- At the bottom (near ground level), the hill's cross-section is the largest oval.
- As we move up in height, the cross-sections become smaller and smaller.
- At the top, the cross-section reduces to the smallest oval.
Step 3: Recall how top view looks.
A top view of such a hill would show concentric ovals (or nearly circular contours), with the largest oval representing the base and progressively smaller ovals inside representing higher altitudes.
Step 4: Match with given options.
- Option P: Shows ellipses but not concentric; they are shifted. Wrong.
- Option Q: Shows ovals elongated sideways, not concentric. Wrong.
- Option R: Shows concentric ovals, largest outside and smaller ones inside — correct.
- Option S: Shows irregular ellipses, not representing concentric cross-sections. Wrong.
