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The distance to the sun is 93,000,000 miles. The closest star is 270,000 miles times...

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Jessica Gardner | High School Teacher | eNotes Employee

Posted January 14, 2013 at 9:00 PM via web

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The distance to the sun is 93,000,000 miles. The closest star is 270,000 miles times that. How long would it take to get a radio signal or light to that star?

Using the equation t=d/v, please explain how you came to your answer. Thanks!

Tagged with math, speed of light

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lfryerda | High School Teacher | (Level 2) Educator

Posted January 15, 2013 at 1:10 AM (Answer #1)

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The speed of light is 186282 miles per second.  The total distance between the nearest star is:` `

`d=93000000 times 270000=2.511 times 10^13`  miles

Since `t=d/v` we can substitute the values to get:

`t={2.511times 10^13}/186282`

`approx 134800000`  seconds

`approx 37400`  hours

` ` `approx 1560`  days

`approx 4.27`  years

It would take approximately 4.27 years to get a radio signal (or light) to the nearest star.

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