The hypotenuse of right triangle abc line segment ac measures 13 cm

This question seems to be incomplete but I have already encountered and answered this problem.

To complete the question:

The hypotenuse of right triangle ABC, line segment AC measures 13 cm. The length of line segment BC is 5cm.

What is the approximate difference between m ∠C and m∠A?

34.8

44.8

46.3

47.9

To solve:

cos (∠C) = 5/13

=0.38462

m∠C = cos^ (-1) 0.38642

=67.4 degrees

m∠A = 90 degrees - 67.4 degrees

=22.6 degrees

m ∠ C - m∠A

=67.4 - 22.6 = 44.8 degrees

The answer is:

44.8 degrees