Hurry help DUE TONIGHTIn the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD. What is the length of side BE?

sin ABC = opposite/hypotenuse
sin ABC = 5/13
ABC = sin^(-1) 0.38
ABC = 22.62°; EBD = 22.62°
Now:
sin EBD = 3/BE
0.38 = 3/BE
BE = 3/0.38
BE = 7.8