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:
.
Step-by-step explanation:
In quadrilateral QRST, Q(-1,0), R(5,0), S(3.5,-6), T(-2.5,-6).
In quadrilateral Q'R'S'T', Q'(-1,2), R'(1,2), S'(0.5,0), T'(-1.5,0).
Distance formula:
Using distance formula , we get
Now,
Therefore the scale factor is .
Logan's monthly bank statement showed the following deposits
and withdrawals:
$31.34, $117.42, -$52.48, -$102.33, $64.90
If Logan's balance in the account was $82.63 at the
beginning of the month, what was the account balance at
the end of the month
The main thing you want to ask yourself is "What is the difference between the two graphs?"
As we can see, the graphs look identical in every way except that g(x) is lower than f(x).
This means that the graph is shifted down a certain amount.
If we look at the y-intercepts of the two functions, we see that f(x) has a y-intercept of 1, and g(x) has a y-intercept of -1.
This means that f(x) is two units lower than g(x).
The y-intercept of a function can be changed by adding or subtracting a number to the original function (in this case 2^{x}).
Because the graph f(x) is 2 lower than the graph of g(x), we can find g(x) by subtracting 2 from f(x).
Therefore, g(x) = 2^{x} - 2.
