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