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. Approximately how long would that thread need to be for the tank below? The path of the spider's thread is shown with a red dotted line. Round your answer to the nearest tenth of an inch. 32in 24in 10in
To find the length of the spider's thread, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the tank represents a right triangle, with the bottom-left front corner and the top-right back corner as the two ends of the hypotenuse. Therefore, we can use the Pythagorean theorem to find the length of the thread.
The length of the thread (hypotenuse) is equal to √(32^2 + 24^2).
Calculating:
√(32^2 + 24^2) = √(1024 + 576) = √1600 = 40 inches
Therefore, the length of the thread would need to be approximately 40 inches.