If Tan α = 2, the abscissa of tangent P is 2, the distance from P to the origin can be obtained

If Tan α = 2, the abscissa of tangent P is 2, the distance from P to the origin can be obtained

Because, Tan α = 2 √ 2, so the opposite / starting edge of ∠ α = 2 √ 2, because the abscissa of point P = 2, that is, the length of the starting edge of ∠ α = 2, so the length of the opposite edge is 4 √ 2, and then according to the Pythagorean theorem, the sum of the squares of the right angles is equal to the square of the hypotenuse, so 4 + 32 = the square of the hypotenuse, so the hypotenuse = 6, that is, the distance from point P to the origin is 6