Question

1. using the distance formula to help other towns

discuss & write: using the distance formula you just derived, find the amount of cable needed for the route from corvus to mensa. show your work. round your answer to the nearest foot.

Explanation:

Step1: Recall the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify the coordinates

Let's assume the coordinates of Mensa are $(x_1,y_1)=(- 14196,8750)$ and assume the coordinates of Corvus are $(x_2,y_2)=(-9000,9500)$ (coordinates are assumed based on the graph - need to be confirmed with full details).

Step3: Substitute into the formula

$d=\sqrt{(-9000+14196)^2+(9500 - 8750)^2}=\sqrt{(5196)^2+(750)^2}$.

Step4: Calculate the squares

$(5196)^2=5196\times5196 = 26998416$ and $(750)^2 = 562500$.

Step5: Add the results

$26998416+562500=27560916$.

Step6: Take the square - root

$d=\sqrt{27560916}\approx5249$.

Answer:

5249 feet