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 coordinates of point B are \((- 30,-30)\) and the coordinates of point C are \((-10,15)\).

Step2: Use 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, \(x_1=-30,y_1 = - 30,x_2=-10,y_2 = 15\). First, calculate \((x_2 - x_1)\) and \((y_2 - y_1)\): \(x_2 - x_1=-10-(-30)=20\), \(y_2 - y_1=15 - (-30)=45\).

Step3: Calculate the distance

Then \(d=\sqrt{(20)^2+(45)^2}=\sqrt{400 + 2025}=\sqrt{2425}\approx49.2\).

Answer:

49.2