The altitude of the International Space Station t minutes after its perigee (closest point), in kilometers, is given by A(t)=415-sin((2pi(t+23.2))/(92.8)). The International Space Station reaches its perigee once in every orbit. How long does the International Space Station take to orbit the earth? Give an exact answer. minutes

Altitude Function Period: The altitude function A(t) is periodic, with the period being the time it takes for the ISS to complete one orbit.Sine Function Period: The period of the sine function sin(Bt) is 2π/B. Here, B = (2π)/(92.8).Calculation of Period: So, the period of A(t) is 92.8 minutes because that's the value that makes Bt equal to 2π.Conclusion: Therefore, the International Space Station takes 92.8 minutes to orbit the Earth.

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The altitude of the International Space Station
t minutes after its perigee (closest point), in kilometers, is given by

A(t)=415-sin((2pi(t+23.2))/(92.8)).
The International Space Station reaches its perigee once in every orbit.
How long does the International Space Station take to orbit the earth? Give an exact answer.
minutes

The altitude of the International Space Station $t$ minutes after its perigee (closest point), in kilometers, is given by $\newline$ $A(t)=415-\sin \left(\frac{2 \pi(t+23.2)}{92.8}\right) .$ $\newline$ The International Space Station reaches its perigee once in every orbit. $\newline$ How long does the International Space Station take to orbit the earth? Give an exact answer. $\newline$ $\square$ minutes

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Q. The altitude of the International Space Station

t

minutes after its perigee (closest point), in kilometers, is given by

\newline

A(t)=415-\sin \left(\frac{2 \pi(t+23.2)}{92.8}\right) .

\newline

The International Space Station reaches its perigee once in every orbit.

\newline

How long does the International Space Station take to orbit the earth? Give an exact answer.

\newline

\square

minutes

Altitude Function Period: The altitude function $A(t)$ is periodic, with the period being the time it takes for the ISS to complete one orbit.
Sine Function Period: The period of the sine function $\sin(Bt)$ is $\frac{2\pi}{B}$ . Here, $B = \frac{2\pi}{92.8}$ .
Calculation of Period: So, the period of $A(t)$ is $92.8$ minutes because that's the value that makes $Bt$ equal to $2\pi$ .
Conclusion: Therefore, the International Space Station takes $92.8$ minutes to orbit the Earth.