A pine tree growing on a hillside makes a 77 degree angle with the hill. From a point 81 feet up the​ hill, the angle of elevation to the top of the tree is 63 degree and the angle of depression to the bottom is 22 degrees . ​Find, to the nearest tenth of a​ foot, the height of the tree.

{decimal} 6 = (6 × 8⁰) = 6{decimal}141 = (1 × 8²) + (4 × 8¹) + (1 × 8⁰) = 97{decimal} 374 = (3 × 8²) + (7 × 8¹) + (4 × 8⁰) = 252{decimal}304 = (3 × 8²) + (0 × 8¹) + (4 × 8⁰) = 196{decimal}602 = (6 × 8²) + (0 × 8¹) + (2 × 8⁰) = 386{decimal}263 = (2 × 8²) + (6 × 8¹) + (3 × 8⁰) = 179{decimal}202 = (2 × 8²) + (0 × 8¹) + (2 × 8⁰) = 130{decimal}157 = (1 × 8²) + (5 × 8¹) + (7 × 8⁰) = 111