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A game programmer decides to use the Pythagorean distance formula for collision detection: The programming environment provides these built-in procedures:Name Descriptionsqrt(n) Returns the square root of  .square(n) Returns the value of  .In the programmer's code, the coordinates are represented by the variables x1, y1, x2, y2.Which of these code snippets properly implements the distance formula?Choose 1 answer:Choose 1 answer:(Choice A)   sqrt( square(x2 - x1) + square(y2 - y1) )Asqrt( square(x2 - x1) + square(y2 - y1) )(Choice B)   sqrt() square() (x2 - x1) + square() (y2 - y1) Bsqrt() square() (x2 - x1) + square() (y2 - y1)(Choice C)   sqrt( (x2 - x1)square +(y2 - y1)square )Csqrt( (x2 - x1)square +(y2 - y1)square )(Choice D)   sqrt() * square(x2 - x1) + square(y2 - y1)Dsqrt() * square(x2 - x1) + square(y2 - y1)(Choice E)   sqrt( square(x2) - x1 + square(y2) - y1 )Esqrt( square(x2) - x1 + square(y2) - y1 )

Question

A game programmer decides to use the Pythagorean distance formula for collision detection: The programming environment provides these built-in procedures:Name Descriptionsqrt(n) Returns the square root of  .square(n) Returns the value of  .In the programmer's code, the coordinates are represented by the variables x1, y1, x2, y2.Which of these code snippets properly implements the distance formula?Choose 1 answer:Choose 1 answer:(Choice A)   sqrt( square(x2 - x1) + square(y2 - y1) )Asqrt( square(x2 - x1) + square(y2 - y1) )(Choice B)   sqrt() square() (x2 - x1) + square() (y2 - y1) Bsqrt() square() (x2 - x1) + square() (y2 - y1)(Choice C)   sqrt( (x2 - x1)square +(y2 - y1)square )Csqrt( (x2 - x1)square +(y2 - y1)square )(Choice D)   sqrt() * square(x2 - x1) + square(y2 - y1)Dsqrt() * square(x2 - x1) + square(y2 - y1)(Choice E)   sqrt( square(x2) - x1 + square(y2) - y1 )Esqrt( square(x2) - x1 + square(y2) - y1 )

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Solution

The correct answer is (Choice A) sqrt( square(x2 - x1) + square(y2 - y1) ). This is the correct implementation of the Pythagorean distance formula in code. The formula is the square root of the sum of the squares of the differences of the coordinates. The other choices do not correctly implement this formula.

Similar Questions

The distance formula is derived from the Pythagorean theorem.A.TrueB.False

Problem StatementEva is at (3, 4) on a 2D grid, and Angel is at an unknown point (x, y). They want to find the Euclidean distance between them. Write a program taking Angel's coordinates as input and using built-in mathematical functions to output the distance.Formula: distance = sqrt((x - 3)2 + (y-4)2) Note: The program should utilize built-in mathematical functions, pow and sqrt, for accurate calculation of the Euclidean distance.Input format :The input consists of two space-separated integers, x and y, representing the coordinates of Angel's location.Output format :The output displays a single integer representing the Euclidean distance between Eva and Angel.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases will fall under the following constraints:1 ≤ x, y ≤ 1000Sample test cases :Input 1 :5 10Output 1 :6Input 2 :15 3Output 2 :12Input 3 :887 999Output 3 :1330

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