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For the situation shown in the figure below the expression for H in terms of r, R and D is

1. H = D + √(r² + R²)
2. H = (R + r) + (D + r)
3. H = (R + r) + √(D² - R²)
4. H = (R + r) + √(2D(R + r) - D²)

Correct answer: H = (R + r) + √(2D(R + r) - D²)

Solution

The correct option accurately represents the relationship between the heights and distances in the given geometric configuration, incorporating both the sum of the radii and the derived expression that accounts for the spatial arrangement of the elements involved.

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