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100 miles is approx 86.9 minutes [or arc].
1 nautical mile was originally defined as the length subtended along a line of longitude by 1 minute [of arc]. Thus 1 nmi = 1 minute [of arc]
Due to the earth not being a perfect sphere but a geoid, the length of a nautical mile would vary depending upon latitude; it has since been agreed to be exactly 1852 metres, ie 1 nmi = 1852 m (exactly)
1 mile = 1609.344 m (exactly)
→ 100 miles = 100 × 1609.344 m = 160934.4 m
→ 160934.4 m = 160934.4 ÷ 1852 nmi ≈ 86.9 nmi = 86.9 minutes [of arc] (≈ 1 degree 26 minutes 53.9 seconds)
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∙ 8y ago
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