What is the distance between the points (13, 24) and (-5, 11)?

Question

What is the distance between the points (13, 24) and (-5, 11)?

Answer 1

x = 13 + 5 = 18

y = 24 - 11 = 13

z = (18^2 + 13^2)^-2

z = (324 + 169)^-2

z = (493)^-2

z = 22.2

Not a geography question.

Answer 2

Take a graph sheet.  Put a Holy Cross mark on it.   The horizontal is X - axis,  Verticalis Y- axis.   at the meeting of X & Y,  put a value of ZERO.  count 13 on X axis, mark a point.  Then count 24 on Y-axis mark a point.  Connect this two points on X & Y axis.  

Similarly repeat the same for (-5,11).  

Measure the distance between the two lines.

That is your answer.

Answer 3

What is the distance between the points (13, 24) and (-5, 11)?

Points A(13, 24) and B(-5, 11).

Point A has x' = 13,   y' = 24.

Point B has  x = - 5,   y = 11

The length of the line joining A(x',y') to B(x,y) is given by

The length of line Formula is squareroot [(x - x')^2 + (y -y')^2]

AB = squareroot [(x - x')^2 + (y -y')^2]

The length of AB = squareroot [(-5 -13)^2 + (11 -24)^2]

                             = squareroot [(-18)^2 + (-13)^2]

                             = squareroot [324 + 169]

                             = squareroot [493]

                             = 22.20360331

                             = 22.2 to three significant figures.

The distance between the points (13, 24) and (-5, 11) is 22.2 to 3 s.f.