Jennifer is flying her kite and I get stuck in a tree. She knows the string on her coat is 17 feet long and she is 7 feet from the tree. How high up in the tree is the kite (in feet)?

Respuesta :

Answer:

15.5 feet

Step-by-step 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.

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