Observe attached picture.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:
![tan \alpha = \frac{C}{D}](https://tex.z-dn.net/?f=tan%20%5Calpha%20%3D%20%5Cfrac%7BC%7D%7BD%7D%20)
Similarly we can do for large triangle containing flagpole:
![tan \alpha = \frac{A}{B}](https://tex.z-dn.net/?f=tan%20%5Calpha%20%3D%20%5Cfrac%7BA%7D%7BB%7D%20)
We see that these two equations have same left sides. This means that their right sides must also be same:
![\frac{C}{D} = \frac{A}{B}](https://tex.z-dn.net/?f=%5Cfrac%7BC%7D%7BD%7D%20%3D%20%5Cfrac%7BA%7D%7BB%7D)
We can solve for A:
![CB=AD \\ A= \frac{CB}{D} \\ A= \frac{6*24}{3} \\ A=48 ft](https://tex.z-dn.net/?f=CB%3DAD%20%5C%5C%20A%3D%20%5Cfrac%7BCB%7D%7BD%7D%20%20%5C%5C%20A%3D%20%5Cfrac%7B6%2A24%7D%7B3%7D%20%20%5C%5C%20A%3D48%20ft)
Height of flagpole is 48 feet.
The answer is D. (hope this helps :)
Answer is 0= -2
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hope it helps
handwriting is too bad though
Answer:
Hello your question is incomplete below is the missing value
determine the probability that the number who have a high school degree as their highest educational level is exactly 32
answer : P( x = 32 ) = 0.08
Step-by-step explanation:
Given ;
n = 100 , p = 0.304
np = 100 * 0.304 = 30.4
n( 1 - p ) = 100 ( 1 - 0.304 ) = 69.6
applying normal approximation to the Binomial to determine mean value and standard deviation ( because: np and n(1-p) > 5 )
mean = np = 30.4
std =
=
= 4.6
<u>Determine the probability of exactly 32 </u>
P( X = 32 ) = P( 31.5 < X < 32.5 )
= P( (31.5 - 30.4) / 4.6 < X < (32.5 - 30.4) / 4.6 )
= P ( 0.24 < Z < 0.46 )
= p( Z < 0.46 ) - p( Z< 0.24 ) ( using standard tables )
= 0.6772 - 0.5948 = 0.0824 ≈ 0.08