The angular diameter of Mars during the great opposition (distance 55 million km) is 25). What is the distance to a planet

The angular diameter of Mars during the great opposition (distance 55 million km) is 25). What is the distance to a planet when its angular diameter is 14ʺ?

Given: ρ1 = 25ʺ, ρ2 = 14ʺ, D1 = 5.5 • 10 ^ 7 km
Find: D2
Decision.
D1 / D2 = ρ2 / ρ1
D2 = (D1 • ρ1) / ρ2
D2 = (5.5 * 107 km * 25ʺ) / (14ʺ) = 9.8 * 10 ^ 7 km
Answer: 9.8 x 10 ^ 7 km

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