A person observes that the full length of a train subtends an angle of 15 ° . If the distance between the train and the person is 3 km , the length of the train, calculated using the parallax method, in meters is

Question

A person observes that the full length of a train subtends an angle of 15 ° . If the distance between the train and the person is 3 km , the length of the train, calculated using the parallax method, in meters is, 45, 45 π, 250 π, 75 π

MARKS App · Accepted Answer

Full length of the train subtends 15 ° angle 15 ° = 15 × π 180 rad = π 12 rad Given that, the distance between the train and person is 3 km . i.e., 3 km = 3000 m Length of the train = Radius × Angle = 3000 × π 12 = 250 π m ​

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