Suppose a spider was able to create one thread that would extend from the top-right back corner of its tank to the bottom-left front corner.%C2%A0 Approximately how long would that thread need to be for the tank below?%C2%A0 The path of the spider's thread is shown with a red dotted line.%C2%A0 Round your answer to the nearest tenth of an inch.

Question

Suppose a spider was able to create one thread that would extend from the top-right back corner of its tank to the bottom-left front corner.%C2%A0 Approximately how long would that thread need to be for the tank below?%C2%A0 The path of the spider's thread is shown with a red dotted line.%C2%A0 Round your answer to the nearest tenth of an inch.

Answer 1

To determine the length of the spider's thread, we need to find the diagonal distance from the top-right back corner to the bottom-left front corner of the tank.

We can use the Pythagorean theorem to find this distance. The horizontal distance from the top-right back corner to the bottom-left front corner is 22 inches, and the vertical distance is 14 inches.

Using the Pythagorean theorem:

Diagonal distance = √(horizontal distance^2 + vertical distance^2)
= √(22^2 + 14^2)
= √(484 + 196)
= √680
≈ 26.08 inches

Therefore, the spider's thread would need to be approximately 26.1 inches long.