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  A, D

Step-by-step explanation:

The length desired is opposite the given angle. The length given is adjacent to the given angle, so the tangent relation applies:

  Tan = Opposite/Adjacent

  tan(25.4°) = x/1600 . . . . . . . matches 1st choice

Multiplying by 1600 gives ...

  x = 1600·tan(25.4°) . . . . . . . matches 4th choice

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.