The picture above is the symbol for my auto-rotate button on LG.
Answer:
All of the answers are possibilities. Need more details. Is there an image supposed to be going with this question? The most common issue now-a-days however is that the auto-rotate option is not enabled in settings. Most devices, you can swipe the screen down or up, depending on your brand of device, to access the ease of access toolbar and there is most likely a button to click there to enable auto-rotate.
