The CN Tower in Toronto, Canada, is the tallest free-standing structure in the world. A woman on the observation deck, 1100 ft above the ground, wants to determine the distance between two landmarks on the ground below. She observes that the angle , formed by the lines of sight to these two landmarks is 50. She also observes that the angle between the vertical and the line of sight of one of the landmarksa is 47 and to the other landmark , is 45. Find the distance between the two landmarks.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560