Ameteorologist measures the angle of elevation to her weather balloon as 33
degrees. a radio signal from the balloon indicates that it is 1601 meters diagonally
from her location. how high is the weather balloon above the ground?

The height of the balloon is 872 meters above the ground

Solution:

Given, A meteorologist measures the angle of elevation to her weather balloon as 33 degrees.  

A radio signal from the balloon indicates that it is 1601 meters diagonally from her location.  

We have to find how high is the weather balloon above the ground?

We have to assume an right angle triangle here, with diagonal distance as hypotenuse and height of balloon as opposite side of elevation angle.

So, now, from above assumption,

Now, height of balloon = 1601 0.5446 = 871.967

Hence, the height of the balloon is 872 meters approximately.

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