Answer:
To solve this problem, we need to use the following formula
[tex]d=\sqrt{\frac{3h}{2} }[/tex]
Where [tex]h[/tex] is the eye-level height and [tex]d[/tex] is the horizontal distance to the horizon.
For Pam, we know that [tex]h=256ft[/tex],
[tex]d=\sqrt{\frac{3(256)}{2} }=\sqrt{384} \approx 19.6[/tex]
She can see around 19.6 feet to the horizon.
For Adam, we know that [tex]h=400 ft[/tex]
[tex]d=\sqrt{\frac{3(400)}{2} }=\sqrt{600} \approx 24.5[/tex]
He cansee around 24.5 feet to the horizon.
Now, the difference is
[tex]\Delta d= d_{Adam} -d_{Pam} \\\Delta d= 24.5 - 19.6 = 4.9[/tex]
Therefore, Adam can see 4.9 feet much farther than Pam.
Additionally, the expression that models this situation is [tex]\Delta d= d_{Adam} -d_{Pam}[/tex]
The distance between two points, is the number of units between them.
The expressions are: [tex]\mathbf{d = |400 - 256|}[/tex] and [tex]\mathbf{d = |256 - 400 |}[/tex]
The given parameters are:
[tex]\mathbf{Pam = 256ft}[/tex]
[tex]\mathbf{Adam = 400ft}[/tex]
The expression that shows the difference between their eye levels, is calculated using the following absolute equation.
[tex]\mathbf{d = |Adam-Pam|}[/tex] or [tex]\mathbf{d = |Pam -Adam|}[/tex]
So, we have:
[tex]\mathbf{d = |400 - 256|}[/tex] or [tex]\mathbf{d = |256 - 400 |}[/tex]
Hence, the expressions are: [tex]\mathbf{d = |400 - 256|}[/tex] and [tex]\mathbf{d = |256 - 400 |}[/tex]
Read more about absolute equations at:
https://brainly.com/question/2166748
