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: Identificar coordenadas

Sea $B(x_1,y_1)$ y $C(x_2,y_2)$. Suponiendo que cada cuadrado en la cuadrícula representa 10 metros, de la gráfica $B(- 30,-20)$ y $C(-10,10)$.

Step2: Aplicar fórmula de distancia

La fórmula de distancia entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ es $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Sustituyendo $x_1=-30,y_1 = - 20,x_2=-10,y_2 = 10$:
\[

$$\begin{align*} d&=\sqrt{(-10-(-30))^2+(10 - (-20))^2}\\ &=\sqrt{(-10 + 30)^2+(10 + 20)^2}\\ &=\sqrt{(20)^2+(30)^2}\\ &=\sqrt{400+900}\\ &=\sqrt{1300}\\ &\approx36.1 \end{align*}$$

\]

Answer:

36.1