Question 4000
You can use the distance formula to solve this problem.

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2], where:   x1 = 0, x2 = 6, y1 = 3, y2 = w, and d = 10

10 = sqrt[(6-0)^2 + (w-3)^2]

10 = sqrt[36 + (w-3)^2]   Square both sides.

100 = 36 + (w^2 - 6w + 9) Simplify.

w^2 - 6w + 45 = 100   Subtract 100 from both sides.

w^2 - 6w - 55 = 0    Solve the quadratic equation by factoring.

(w - 11)(w + 5) = 0  Apply the zero products principle.

w - 11 = 0,  w = 11
w + 5 = 0,  w = -5

The values of w are:  11 and -5