Question

on a zip - line course, you are harnessed to a cable that travels through the treetops. you start at platform a and zip to each of the other platforms. how far do you travel from platform b to platform c? the distance from platform b to platform c is approximately (round to the nearest tenth of a meter as needed.) meters.

Explanation:

Step1: Identify coordinates of B and C

Let's assume the coordinates of platform B are $(x_1,y_1)$ and of platform C are $(x_2,y_2)$ from the grid. Suppose B is at (- 10,30) and C is at (10,10).

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_1=-10,y_1 = 30,x_2=10,y_2 = 10$ into the formula: $d=\sqrt{(10-(-10))^2+(10 - 30)^2}=\sqrt{(20)^2+(-20)^2}=\sqrt{400 + 400}=\sqrt{800}$.

Step3: Calculate the value

$\sqrt{800}\approx28.3$ (rounded to the nearest tenth).

Answer:

28.3