Question 735545
tower = 83 ft

let the tree be x ft taller than the tower

Tree height = (83+x) ft

Let y be the distance between tree and tower


Tan 13 = x/y

y=x/ Tan 13.........................(1)

Tan 72 = 83/y

y= 83/tan 72.........................(2)

x/ tan 13 = 83/ tan 72

x= 83 * tan 13 / tan 72

x= 6,23 ft

Height of tree = 83+6.23= 89.23 feet