A 21 foot tower must be secured with a wire anchored 7 feet from the base of the tower. What angle will the wire make with the ground? Round your answer to the nearest tenth.

71.6

Step-by-step explanation:

opposite=height= 21 ft

Adjacent= length of shadow = 7ft

Angle of inclination= C

tan C = 21/7

C= tan‐¹(3)= 71.6

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