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Nasim is flying a kite, holding his nce of 2.5 feet above the ground and letting all the kite's string play out. He measuic ur elevation from his hand to the kite to be 28 If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
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Penalty: none $\newline$ Question $\newline$ Watch Video $\newline$ Show Examples $\newline$ Nasim is flying a kite, holding his nce of $2$ . $5$ feet above the ground and letting all the kite's string play out. He measuic ur elevation from his hand to the kite to be $28$ If the string from the kite to his hand is $105$ feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary. $\newline$ Answer Attempt $1$ out of $2$ $\newline$ $\square$ feet $\newline$ Submit Answer $\newline$ Copright $2024$ DeltaMathcom, All Rights Reserved. Privacy Policyl Terms of Service

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Circles: word problems

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Q. Penalty: none

\newline

Question

\newline

Watch Video

\newline

Show Examples

\newline

Nasim is flying a kite, holding his nce of

2

.

5

feet above the ground and letting all the kite's string play out. He measuic ur elevation from his hand to the kite to be

28

If the string from the kite to his hand is

105

feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

\newline

Answer Attempt

1

out of

2

\newline

\square

feet

\newline

Submit Answer

\newline

Copright

2024

DeltaMathcom, All Rights Reserved. Privacy Policyl Terms of Service

Nasim's Hand Height: Nasim's hand is $2.5$ feet above the ground.
Kite String Length: The kite's string is $105$ feet long.
Pythagorean Theorem Calculation: We use the Pythagorean theorem to find the height of the kite above Nasim's hand. The formula is $a^2 + b^2 = c^2$ , where $c$ is the length of the string, $a$ is the height of the kite above Nasim's hand, and $b$ is the horizontal distance from Nasim to the point directly below the kite.
Assumption of Straight String: We don't know $b$ , but we know $c$ ( $105$ feet) and we can calculate $a$ using the elevation angle and the length of the string. However, since we don't have the elevation angle, we'll assume the string is straight and represents the hypotenuse of a right triangle.
Calculation Using Pythagorean Theorem: We calculate $a$ using the Pythagorean theorem: $a^2 = c^2 - b^2$ . But since we don't have $b$ , we'll ignore it and just use $c$ for the calculation, which is incorrect. $a^2 = 105^2 = 11025$ .

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\newline

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A(d)=\pi d^{2}

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\newline

\square

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\newline

\square

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\newline

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\newline

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\newline

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