Diameter of the Moon

Classical Mechanics Level 2

The angular diameter of the moon as seen from Earth is about 30 arcmin 30 \text{ arcmin} when the moon is at a distance of 3.7 × 1 0 8 m 3.7 \times 10^8 \text{ m} from Earth. Which of the following is the best approximation for the diameter of the moon in meters?

8.4 × 1 0 5 8.4 \times 10^5 3.2 × 1 0 6 3.2 \times 10^6 3.7 × 1 0 8 3.7 \times 10^8 1.3 × 1 0 9 1.3 \times 10^9

Matt DeCross by Matt DeCross , 27, USA

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1 solution

X=radius of moon X/3.7E8=tan(0.25) X=1.61E6 Diameter=2*1.61E6=3.2E6

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I got the same solution yet when selected the answer is coming up as incorrect

Kai Hall - 1 year, 2 months ago

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