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.
Answers
GPT 3.5
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.
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.