【High】 , 【tall】 ,  【lofty】  mean above the average in height.

【High】 , the general term (opposed to low ), implies marked extension upward and is applied chiefly to things which rise from a base or foundation or are placed at a conspicuous height above a lower level (as a floor or the ground).

【Tall】  (often opposed to short ) applies to what rises or grows 【high】 as compared with others of its kind, especially when its breadth or diameter is small in proportion to its height; thus, in idiomatic use one would ordinarily refer to a  【high】  hill but a  【tall】 man.

【Lofty】  is often poetical for  【high】 , but it usually implies even greater and more imposing altitude.

【High】 alone of these words is used to express degree or intensity.

In extended use  【high】 connotes distinction, elevation, and sometimes pride or arrogance.

【Lofty】 suggests moral grandeur or dignity. The term may also imply haughtiness or superciliousness.

【Tall】  in extended use is usually slangy or informal and often implies exaggeration or departure from the strict truth <indulging in  【tall】  talk about the vast mysteries of life —White >  <he is given to  【tall】  stories>