<span>Z $ xy then Z = Kxy. When x = 2 and y = 3, and Z = 60, our constant of variation becomes
60 = K * 2 * 3
K = 10. Our constant of proportionality equals 10. We would need that in the second part of the equation.
When x = 4 and y = 9, we have
Z = 10 * 4 * 9 = 360</span>
Please provide a few more details.
Answer:
The horizontal distance until the plane flies over the island is 2687ft
Step-by-step explanation:
An illustrative diagram of the scenario is shown in the attachment below.
P is the position of the plane, I indicates the position of the island and G is point on the ground such that /PG/ is perpendicular to the ground.
From the diagram, the horizontal distance from the plane to the island is x.
x = /IG/
In the diagram, consider triangle PIG which is a right angle triangle.
/PI/ is the hypotenuse
/IG/ is the opposite
and /GP/ is the adjacent.
From the formula,
![tan\theta = \frac{opposite}{adjacent}\\](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%5C%5C)
∴ ![tan\theta = \frac{/IG/}{/GP/}\\](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cfrac%7B%2FIG%2F%7D%7B%2FGP%2F%7D%5C%5C)
![tan\theta = \frac{x}{/GP/}\\](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cfrac%7Bx%7D%7B%2FGP%2F%7D%5C%5C)
∴ ![x = /GP/ tan\theta](https://tex.z-dn.net/?f=x%20%3D%20%2FGP%2F%20tan%5Ctheta)
From the diagram
/GP/ = 7000 ft and ![\theta = 21](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2021)
∴ ![x = 7000 \times tan21\\](https://tex.z-dn.net/?f=x%20%3D%207000%20%5Ctimes%20tan21%5C%5C)
![x = 2687.05 ft](https://tex.z-dn.net/?f=x%20%3D%202687.05%20ft)
≅ 2687 ft
Hence, the horizontal distance until the plane flies over the island is 2687ft
Answer:
r= 13ft
Step-by-step explanation:
You are looking for the radius
The Area of a circle is
πr2=530.66
(3.14)r2=530.66
Divide both sides by 3.14
r2=169
Square root both sides to get radius
r=13 feet