The length of the hypotenuse, line segment AC, in right triangle ABC is 25cm. The length of line segment is 15cm. Which is a approximate measure of angle ACB

According to the Pythagorean Theorem,

hypotenuse^2 = leg^2 + leg^2

25^2 = 15^2 + leg^2

625 - 225 = leg^2

leg = 20

Since there is NO diagram, I am guessing at what angle ACB is.

sine (ACB) = 20 / 25 =.8

arc sine (.8) = 53.13 degrees

In case it should be the other angle, then it is

36.87 degrees