what is the probability that a number selected at random from the set {12,42,60,120,63,12,240,71,132}is divisible by 2 and 5.

  58

Step-by-step explanation:

Consider the right triangle ABC, with C as the right angle. The sides opposite those angles are a, b, c, where c is the hypotenuse.

The mnemonic SOH CAH TOA tells you

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

so, ...

  sin(A) = a/c

  cos(B) = a/c = sin(A)

We know that in a right triangle, angle A and angle B are complementary. So, if angle A is 32°, angle B will be 90°-32° = 58°.