Answer
Distance traveled by the bullet in nearest feet = 1414 feet
Work Step by Step
The path of bullet under given conditions will be along hypotenuse of a 45°–45°–90° triangle. Distance traveled by it when it is 1000 feet above ground will be the length of hypotenuse, while length of shorter side is 1000 feet.
In a 45°–45°–90° triangle, length of hypotenuse is $\sqrt 2$ times the length of shorter side, Hence-
Distance traveled by the bullet = $1000 \times \sqrt 2$
Distance traveled by the bullet = $1000 \times 1.41421$ = 1414.21 feet
Distance traveled by the bullet in nearest feet = 1414 feet
