Which two sets of events are most likely independent?

A. Event A: A student has brown eyes.
Event B. The student is a girl.

B. Event A: A student does all her homework for Unit 5.
Event B. The student passes the Unit 5 test.

C. Event A: A man likes iced tea.
Event B. The man sings in a choir.

D. Event A: A student practices free throws regularly.
Event B. The student makes the basketball team.

Here's my reasoning:

Someone's eye color does not have any bearing on their gender or vice versa, so the two events are not linked together. They are independent. That's why I think choice A is the answer.

Something like doing homework is strongly linked to doing well on a test. The more homework practice you get, the more likely your grade will be better. We can rule out choice B since the two events are dependent.

Choice C is a bit tricky, but I would argue that tea (whether hot or cold) helps sooth the throat after a long day of singing. It might help reach those high notes maybe. So you could say the events are dependent. I would change "likes" to "drinks" because the person may not like the drink, but still rely on it to get the job done. We can rule out choice C.

Choice D is dependent since someone who practices free throws is likely to make the team. This is assuming the coach doesn't just randomly select people from a list. We can rule out choice D.

  3.62 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the side adjacent to the angle and the hypotenuse:

  Cos = Adjacent/Hypotenuse

  cos(34°) = AB/AC

  AC = AB/cos(34°) = 3/cos(34°) ≈ 3.619 ≈ 3.62 . . . units

For right triangle ABC with A an angle of 34°, AB of length 3, and AC the hypotenuse.