The height of the tree is 38.5 feet, Option 2.
How to calculate the height of the tree
Let the base of the tree be B
Let BE = x
Let height of tree be h.
From ∆BTE
tan49 = h/x
h = tan49
BD = DE + BE
= 53 + x
From ∆BTD
tan24 = h/53 + x
h = (53+x)tan24
= 53tan24 + xtan24
Equate the expressions for h
53tan24 + xtan24 = xtan49
x(tan49-tan24) = 53tan24
x(1.1504 - 0.4452) = 53*0.4452
0.7052x = 23.5956
x = 23.5956/0.7052
= 33.459 feet
Substitute into h = xtan49
h = 33.459tan49
= 38.49 = 38.5 feet
The height of the tree is 38.5 feet, Option 2.