Question

You are sitting on the ground flying a kite.

You let out 39 feet of string and the kite is in the air 15
feet away from you.
How high is the kite?

Answer 1

Height of the kite = 36 feet

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.