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: $(10, 15)$

Step2: Apply distance formula

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. Substitute values:
$$d=\sqrt{(10-(-20))^2+(15-30)^2}$$

Step3: Calculate differences

$$d=\sqrt{(30)^2+(-15)^2}$$

Step4: Compute squared terms

$$d=\sqrt{900+225}$$

Step5: Sum and take square root

$$d=\sqrt{1125} \approx 36.1$$

Answer:

36.1 meters