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 \\(\square\\) meters (round to the nearest tenth of a meter as needed).

Explanation:

Step1: Identify coordinates of B and C

Platform B: $(-20, -30)$, Platform C: $(-10, -20)$

Step2: Apply distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. Substitute values:
$$d=\sqrt{(-10-(-20))^2+(-20-(-30))^2}$$

Step3: Simplify the expression

$$d=\sqrt{(10)^2+(10)^2}=\sqrt{100+100}=\sqrt{200}$$

Step4: Calculate and round result

$\sqrt{200}\approx14.1$ meters

Answer:

14.1 meters