Answer:
Height of the kite = 36 feet
Step-by-step explanation:
Triangle attached in the figure shows the complete picture,
I am sitting at point A, string connecting the kite and me is side AC, height of the kite from the ground is side BC and side AB representing the distance between me and the kite.
Length of side BC = h
Length of side AC = 39 feet
Length of side AB = 15 feet
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(39)² = (15)² + h²
h² = 1521 - 225
h² = 1296
h = √1296
h = 36 feet
Therefore, kite is at 36 feet height.