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2 years ago

12

A kite is flying at a vertical of 65 meters. It's string is attached to the ground at a 31 degree angle with the ground. How lon

g is the string? Round the the nearest WHOLE NUMBER

1 answer:

Simora [160]2 years ago

8 0

Answer:

70 and 30

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

<u>Sum to infinity of a geometric series</u>

$S_{\infty}=\dfrac{a}{1-r}\:\textsf{ for }|r| < 1$

where:

a is the first term
r is the common ratio

Given:

$S_{\infty}=100$

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Substitute the given values into the formula and solve for a:

$\begin{aligned}S_{\infty} & =\dfrac{a}{1-r}\\\\\implies 100 & =\dfrac{a}{1-\left(-\frac{1}{2}\right)}\\\\ 100 & =\dfrac{a}{1+\frac{1}{2}}\\\\100 & = \dfrac{a}{\frac{3}{2}}\\\\a & = \dfrac{3}{2} \cdot 100\\\\a & = 150\end{aligned}$

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