A geometry problem by Saraswati Sharma

Geometry Level pending

Imagine that you are surveying the sky, and take images of two galaxies. Galaxy A looks twice as wide as Galaxy B - i.e. A subtends twice the angle as viewed from the Earth, with an apparent radius of twice as many pixels.

Which one of these statements cannot be true?

If the 2 galaxies are really the same size , B must be twice as far away as A If galaxy A is really four time as big as galaxy B , A must be twice as far away If galaxy B is really half the size of galaxy A , B must be twice as far away If galaxy B is really twice as large as A , B must be four time away If the two galaxies are at the same distance from the earth , B must be half the size of A

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