Tarzan is above the floor of the jungle on a limb as shown in the picture below. He swings out on a vine of length \(15\,\text{m}\) that initially makes an angle of \(32^{\circ}\) with the vertical. He releases his grip on the vine when he is at the lowest point of the swing. At this lowest point, he is \(9.0\,\text{m}\) above the ground. How far horizontally did he travel from when he first started his swing (distance \(d\) in the picture)?