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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 Mileswhat Is The Distance From The Satellite To The Horizon Round To The Nearest Mile class=

Sagot :

Answer:

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.

[tex]4000^2+D^2=x^2[/tex]

Since we know that D = 65, the above becomes

[tex]4000^2+65^2=x^2[/tex]

taking the square root of both sides gives

[tex]x=\sqrt{4000^2+65^2}[/tex]

which we evaluate to get: upon using a calculator.

[tex]\boxed{x=4000.52.}[/tex]

rounding to the nearest mile gives

[tex]\boxed{x=4001.}[/tex]

which is our answer!

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