Find the value of $x$ .

Right triangle S T W is shown. Angle T is marked as a right angle. A vertical segment U V is drawn, with point U along side S W and point V along side T W. Segment U V is perpendicular to segment T W so that U V W is a right triangle with V as the right angle. Segment S T measures 5 meters, segment T V measures 9 meters, segment V W measures 6 meters and segment U V is labeled x meters.