Which of the following most logically completes the argument? a photograph of the night sky was taken with the camera shutter open for an extended period. the normal motion of stars across the sky caused the images of the stars in the photograph to appear as streaks. however, one bright spot was not streaked. even if the spot were caused, as astronomers believe, by a celestial object, that object could still have been moving across the sky during the time the shutter was open, since ) the spot was not the brightest object in the photograph(b) the photograph contains many streaks that astronomers can identify as caused by noncelestial objects(c) stars in the night sky do not appear to shift position relative to each other(d) the spot could have been caused by an object that emitted a flash that lasted for only a fraction of the time that the camera shutter was open(e) if the camera shutter had not been open for an extended period, it would have recorded substantially fewer celestial objects

(D) the spot could have been caused by an object that emitted a flash that lasted for only a fraction of the time that the camera shutter was open

Explanation:

(A) the spot was not the brightest object in the photograph: The effect described and the brightness of the objects have no relation. Stars of very different brightness will be shown.

(B) the photograph contains many streaks that astronomers can identify as caused by noncelestial objects: Yes, but that doesn't explain the effect described. A plane could leave a streak.

(C) stars in the night sky do not appear to shift position relative to each other: True, at least for relative short times, but that has nothing to do with the effect described, which happens in a very short period of time.

(E) if the camera shutter had not been open for an extended period, it would have recorded substantially fewer celestial objects: True, but quantity of objects does not relate with the particular case described.

(D) the spot could have been caused by an object that emitted a flash that lasted for only a fraction of the time that the camera shutter was open: True, this can happen, for example, with Iridium satellites, they emit a flash (reflect solar light) that lasts a very short time as seen from one point on the surface (the place where the camera is), and something like this could have been captured by the camera shutter, appearing like a point compared to the streaks left by the stars.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y