JSFiddle - React, Tailwind, and code Playground
HTML
<div id="main"><div id="img"></div></div>
<div id="info">
<span></span><br/>
<span></span>
</div>
CSS
div#main {
width:500px;
height:500px;
border:2px #000 solid; }
div#img {
width:94px;
height:119px;
overflow:hidden;
top:50%;
left:50%;
margin-left:-45px;
margin-top:-60px;
position:relative;
background-image:url('http://imgur.com/3UPki.png');
background-position:0;}
div#info {
position: absolute;
bottom:0;
left:0; }
JavaScript
$(function() {
var position = $("div#img").position(),
mouseX, mouseY, imgX, imgY, degree;
imgX = position.left;
imgY = position.top;
$("#main").mousemove(function(e) {
// degree is arctan y over x (soh,cah,toa)
degree = Math.atan2((e.pageY - imgY),(e.pageX - imgX))*(180 / Math.PI);
degree = (degree - 90) % 360;
// jQuery normalizes pageX and pageY
// transfrom from -180 to 180 ==> 0 to 360
if (degree < 0) degree = 180 + (180 - (Math.abs(degree)));
rotate(degree);
$("span:first").html("Segment: " + (9 - Math.floor(degree / 36)));
$("span:last").html("Degree: " + Math.floor(degree));
});
function rotate(degree) {
var off = 9 - Math.floor(degree / 36);
$("div#img").css("background-position",-off*94);
}
});