I will let you do the exact arithmetic. Draw a figure. Angle ACB = 45 degrees.

That means the triangle you have described is an isosceles right triangle.

That means that length of AB is also 14".

Triangle DBC is a 30-60 right triangle which means DB is (14/3)sqrt(3) and

AD is 14-length of DB.

Remember that in a 30-60 right triangle the ratio of the sides is 2:1:sqrt(3).