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What would be the angular diameter of the Moon if to distance between the Moon and the Earth were twice bigger?

Stars and Galaxies (MindTap Course List)

10th Edition

ISBN:9781337399944

Author:Michael A. Seeds

Publisher:Michael A. Seeds

Chapter4: Origins Of Modern Astronomy

Section: Chapter Questions

Problem 4P

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What would be the angular diameter of the Moon if to distance between the Moon and the Earth were twice bigger?

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can you solve this using the formula attached in the picture?

You can now find the angular diameter of the Moon using
its linear diameter, 3480 km (2160 mi), and its average distance
from Earth, 384,000 km (both values have been rounded to a
precision of 3 digits). Because the Moon's linear diameter and
distance are both given in the same units, kilometers, you can
put them directly into the small-angle formula:
angular diameter
2.06 X 105
3480 km
384,000 km

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