Step
In the right triangle ADB
Find the length of the segment AB
Applying the Pythagorean Theorem
we have
substitute the values
Step
In the right triangle ADB
Find the cosine of the angle BAD
we know that
Step
In the right triangle ABC
Find the length of the segment AC
we know that
solve for AC
Step
Find the length of the segment DC
we know that
we have
substitute the values
Step
Find the length of the segment BC
In the right triangle BDC
Applying the Pythagorean Theorem
we have
substitute the values
therefore
the answer is