The approximate distance from point E to point C is 12.65. The correct answer is: D
To find the distance from point E to point C in rectangle DEBC, we can use the Pythagorean Theorem since DEBC is a rectangle, and therefore DE and BC are perpendicular.
DE and BC are the legs of the right-angled triangle, and EC is the hypotenuse.
EC² = DE² + BC²
EB = 12 and BC = 4
EC² = 12² + 4²
EC² = 144 + 16
EC² = 160.
EC = √160 ≈ 12.65.
Therefore, the approximate distance from point E to point C is 12.65. Therefore, the correct answer is: (D) 12.65.