Answer:
119.45 m
Step-by-step explanation:
Given:
When angle of elevation of the sun changes from 58° to 36° the length of shadow of a pole increases by 90 m.
To find:
Length of pole = ?
Solution:
Kindly refer to the attached image.
represents the 1st angle of elevation of sun i.e. 58°
represents the 2nd angle of elevation of sun i.e. 36°
Change in shadow is represented by CD = 90 m
Let height of pole, AB =
m
Let side BC =
m
Now, let us apply tangent rules in
one by one:


Putting value of
using equation (1):

119.45 m is the height of pole.
Answer:
The co variance of the midterm and final exam scores is 58.76.
Step-by-step explanation:
The formula to compute the sample co variance is:

The values are computed in the table below.
Compute the co variance as follows:

Thus, the co variance of the midterm and final exam scores is 58.76.
The first step to solve this problem is to compute for the
total money of Veronica. You can do this by:
$35 (given to bill) / 20% (percentage of her money given to
Bill) = $175
Since you already know the total money of Veronica, you can
now compute how much she spent to buy books which are 50% of her remaining
money after giving Bill $35.
($175 - $35) x 50% = $70
Therefore, she spent $70 for her books.
$175 – $35 – $70 = $70
Therefore, she has $70 left.
Answer:
The first relationship is proportional
Step-by-step explanation: