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. 35in 16in 12in
(2 points)
The diagonal of the bottom of the tank is inches.
To find the diagonal of the bottom of the tank, we can use the Pythagorean theorem. The diagonal would be the hypotenuse of a right triangle with sides of 35 inches and 16 inches.
Using the Pythagorean theorem, we have:
diagonal^2 = 35^2 + 16^2
diagonal^2 = 1225 + 256
diagonal^2 = 1481
Taking the square root of both sides, we have:
diagonal ≈ √1481 ≈ 38.5
Rounding to the nearest tenth of an inch, the diagonal of the bottom of the tank is approximately 38.5 inches.
Therefore, the spider's thread would need to be approximately 38.5 inches long.