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Question c2d89f4

Geometry and Trigonometry - Right triangles and trigonometry

The figure presents right triangle A, B C, with horizontal side A, C. Point B is directly above point A and angle A is a right angle. Point D lies on side A, B and point E lies on side B C. Horizontal line segment D E is drawn and angle D is a right angle.

In the figure above, $tangent of B equals the fraction 3 over 4$ . If $B C equals 15$ and $D A, equals 4$ , what is the length of $line segment D E$ ?