Final answer:
The Direct Selection Tool in Adobe InDesign allows a user to move an object within its frame, offering precision in layout and design tasks.
Step-by-step explanation:
The tool in Adobe InDesign that allows one to move an object within its frame is called the Direct Selection Tool. This tool can be found in the toolbar, typically represented by a white arrow. To move an object within its frame, you would first select the Direct Selection Tool, then click on the object you wish to move. Once selected, you can drag the object to reposition it within the frame. If you want the object to move in a straight line either horizontally or vertically, hold down the Shift key while dragging. This is a crucial feature for those working with complex layouts and designs where precision is essential.