isRectangleCrossLine.js

/**
 * Checks if line is crossed by rectangle
 * @param x1 most left X of rectangle
 * @param y1 most left Y of rectangle
 * @param a side length  of rectangle
 * @param b side length  of rectangle
 * @param degree is an angle to X axis
 * @param borderX - x coordinate of a line to check crossing
 * @return {boolean} Returns true if rectangle that described with params x1, y1, a, b, degree is crossing the line.
*/
const isCrossed = (x1, y1, a, b, degree, borderX) => {
  const radian1 = degreeToRadian(degree);
  const radian2 = degreeToRadian(degree-90);
  const { cos, sin } = Math;

  const x2 = x1 + a * cos(radian1);
  const y2 = y1 + a * sin(radian1);

   const x3 = x1 + b * cos(radian2);
   const y3 = y1 + b * sin(radian2);

   const x4 = x3 + a * cos(radian1);
   const y4 = y3 + a * sin(radian1);

   console.log({ x1, y1 });
   console.log({ x2, y2 });
   console.log({ x3, y3 });
   console.log({ x4, y4 });
   console.log('______________');

   return Math.max(x1, x2, x3, x4) >= borderX;
};

const degreeToRadian = d => d * Math.PI / 180;

isCrossed(0,0,1,1,0, 1)
isCrossed(0,0,1,1,45, 2)
isCrossed(0,0,2,3,0, 2)
isCrossed(0,0,4,3,37, 4.9)