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A satellite has an altitude of 65 miles.what is the distance from the satellite to the horizon? Round to the nearest mile.

A satellite has an altitude of 65 miles.what is the distance from the satellite to-example-1

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Answer:

Step-by-step explanation:

Our problem reduces to the following. Given D = 65 miles, what is the length of the missing side? Let us call the missing side x

To find out the length of the missing side, we use pythogoras' theorem.


4000^2+D^2=x^2

Since we know that D = 65, the above becomes


4000^2+65^2=x^2

taking the square root of both sides gives


x=√(4000^2+65^2)

which we evaluate to get: upon using a calculator.


\boxed{x=4000.52.}

rounding to the nearest mile gives


\boxed{x=4001.}

which is our answer!

A satellite has an altitude of 65 miles.what is the distance from the satellite to-example-1
User Stoney
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