Fontawesome example

HTML

<link rel="stylesheet" href="//netdna.bootstrapcdn.com/font-awesome/3.0.2/css/font-awesome.css">
<div>
  <br>
  <img id="img" src="http://www.icon2s.com/img256/256x256-black-white-android-user.png">

  <select name="" id="">
    <option value="1">1</option>
    <option value="2">2</option>
    <option value="3">3</option>
  </select>
</div>

CSS

select {
  width: 16%;
  height: 40px;
  border: 1px solid #ccc;
  -webkit-appearance: none;
  padding: 5px;
  background: #f7f7f7;
  padding-left: 35px;
  opacity: 1 !important;
  border-radius: 3px !important;
}

#img {
  width: 20px;
  position: relative;
  left: 35px;
  top: 5px;
}

JavaScript

$('#img').click(function() {
  alert('');
  $('select').trigger('change');
})