on a zip - line course, you are harnessed to a cable that travels through the treetops. you start at…
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.)
Answer
Explanation:
Step1: Identify coordinates
Assume each grid - square represents 10 units. Let the coordinates of platform B be ((- 30,30)) and of platform C be ((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}). Here, (x_1=-30,y_1 = 30,x_2 = 10,y_2=-10). [ \begin{align*} d&=\sqrt{(10-(-30))^2+((-10)-30)^2}\ &=\sqrt{(10 + 30)^2+(-10 - 30)^2}\ &=\sqrt{(40)^2+(-40)^2}\ &=\sqrt{1600 + 1600}\ &=\sqrt{3200}\ &=\sqrt{1600\times2}\ & = 40\sqrt{2}\approx40\times1.414 = 56.6 \end{align*} ]
Answer:
56.6