Question

find the distance between the pair of points. a(0,4), b(0,15) d = (simplify your answer. type an exact answer, using radicals as needed.)

Explanation:

Step1: Identify the formula for distance between two points on a vertical line

For two points \(A(x_1,y_1)\) and \(B(x_2,y_2)\) with \(x_1 = x_2\), the distance \(d=\vert y_2 - y_1\vert\).
Here \(x_1 = 0,x_2 = 0,y_1 = 4,y_2 = 15\).

Step2: Calculate the distance

Substitute the values into the formula: \(d=\vert15 - 4\vert\).
Since \(15-4 = 11\) and \(\vert11\vert=11\).

Answer:

\(11\)