(Solved): The figure below contains two right triangles with one common side. The length of the segment \( B ...

The figure below contains two right triangles with one common side. The length of the segment \( B C \) is \( |B C|=1 \mathrm{~cm} \), the length of the segment \( A D \) is \( |A D|=8 \mathrm{~cm} \), and the angle \( \angle D A B \) is \( \angle D A B=47^{\circ} \). Find each of the following (note that the angles you plug into trigonometric functions must be in radians): The length of the line segment \( B D:|B D|= \) The tangent of angle \( \theta=\angle B D C: \tan (\theta)= \) The length of the line segement \( C D:|C D|=\mathrm{cm} \).