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Vesnalui [34]
3 years ago
13

A girl is flying a kite with a 120ft string attached to the ground is flying directly Selena’s head is standing 24 ft from where

the kite is attached to the ground if seleana is 6ft y’all how far above her head is the kite

Mathematics
1 answer:
SashulF [63]3 years ago
5 0

Answer:

111.58 feet

Step-by-step explanation:

Given that the length of the string (AB in the attached diagram) is 120 feet.

Selena (at point D) is standing 24 feet from point A, where the kite is attached to the ground.

Since the kite is directly above Selena's head, the problem forms a right triangle.

Using Pythagoras theorem

|AB|^2=|BD|^2+|AD|^2\\120^2=|BD|^2+24^2\\|BD|^2=120^2-24^2\\|BD|^2=13824\\|BD|=\sqrt{13824} \\|BD|=117.58$ ft

Serena's height (CD=6 feet)

The distance of the kite above her head is BC in the drawn diagram.

Therefore:

|BD|=|BC|+|CD|

117.58=|BC|+6

|BC|=117.58-6

|BC|=111.58 feet

The kite is approximately 111.58 feet above Selena's head/

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