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

Explanation:

Step1: Identify coordinates

Let's assume each grid - square represents 1 unit. From the graph, if we assume the origin \((0,0)\) at the center of the grid, the coordinates of point B seem to be \((- 30,-20)\) and the coordinates of point C seem to be \((-10,15)\).

Step2: Apply distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1=-30,y_1 = - 20,x_2=-10,y_2 = 15\).
\[

$$\begin{align*} d&=\sqrt{(-10-(-30))^2+(15 - (-20))^2}\\ &=\sqrt{(-10 + 30)^2+(15 + 20)^2}\\ &=\sqrt{(20)^2+(35)^2}\\ &=\sqrt{400+1225}\\ &=\sqrt{1625}\\ &\approx40.3 \end{align*}$$

\]

Answer:

40.3