Answer:
The answer is
[tex]\sqrt{865} \: \: \: or \: \: 29.41 \: \: \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]
From the question the points are
A(28, 4) and B(4, 21)
The distance between them is
[tex] |AB| = \sqrt{ ({28 - 4})^{2} + ({4 - 21})^{2} } \\ = \sqrt{ {24}^{2} + ( { - 17})^{2} } \\ = \sqrt{576 + 289} \: \: \: \: \: \: \: \\ = \sqrt{865} \\ = 29.410882339...[/tex]
We have the final answer as
[tex] \sqrt{865} \: \: \: or \: \: 29.41 \: \: \: \: units[/tex]
Hope this helps you
