Answer:
The top of the pole is approximately 13 feet high up the tree.
Explanation:
The diagram for the given scenario is shown below.
From triangle ABC, A is the top of pole and B is the bottom of pole.
AC is the height of tree. BC is the distance of the bottom of pole from the tree.
Given:
AB = 15 ft, BC = 8 ft
To find:
AC = ?
Since triangle ABC is right angled triangle, we apply Pythagoras Theorem to find the unknown side. So,

Therefore, the height of the tree is approximately 13 ft.