In the expression ±(0.2 mm + 5 ppm), the 5 ppm term is distance-dependent.

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Multiple Choice

In the expression ±(0.2 mm + 5 ppm), the 5 ppm term is distance-dependent.

Explanation:
In this expression, you’re combining an absolute error term with a relative error term. The 0.2 mm part is fixed and does not change with distance. The 5 ppm part is a relative (parts-per-million) error, which means it scales with the distance being measured. If the distance is D, the error from the 5 ppm term is 5×10^-6 × D, so it grows as D grows. That’s why this term is distance-dependent: it’s not a constant amount, but a fraction of the distance itself. For example, at 100 m the 5 ppm contribution is 0.5 mm, and at 1000 m it’s 5 mm. The overall uncertainty is the sum of a constant 0.2 mm and this distance-proportional term. The other options don’t fit because the ppm term doesn’t stay fixed (not constant), and it isn’t tied to angle or time.

In this expression, you’re combining an absolute error term with a relative error term. The 0.2 mm part is fixed and does not change with distance. The 5 ppm part is a relative (parts-per-million) error, which means it scales with the distance being measured. If the distance is D, the error from the 5 ppm term is 5×10^-6 × D, so it grows as D grows. That’s why this term is distance-dependent: it’s not a constant amount, but a fraction of the distance itself.

For example, at 100 m the 5 ppm contribution is 0.5 mm, and at 1000 m it’s 5 mm. The overall uncertainty is the sum of a constant 0.2 mm and this distance-proportional term. The other options don’t fit because the ppm term doesn’t stay fixed (not constant), and it isn’t tied to angle or time.

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