15.5 feet
Explanation:
Find attached to this answer the appropriate diagram.
We would be using the Pythagoras Theorem to solve this question
The formula is given as:
a² + b² = c²
Where a = opposite side
b = adjacent side
c = hypotenuse
From the question,
a = opposite side = unknown
b = adjacent side = 7 feet
c = hypotenuse = 17 feet
We are to find the opposite side
Using the formula
a² + b² = c²
a² = c² - b²
a² = 17 feet² - 7 feet ²
a² = 289 feet² - 49 feet²
a² = 240 feet²
a = √240 feet²
a = 15.491933385 feet
Approximately 15.5 feet
Therefore, the kite is 15.5 feet high up in the tree.