# Time it takes to transmit signal to satellite (modern physics)

**1. The problem statement, all variables and given/known data**

A communication satellite is orbiting 36 000 km above Earths surface. Two cities, 3500 km apart are transmitting to and receiving signals from each other. Find the time required to transmit a signal from one city to the other. They are equidistant from the satellite.

h = 36000 km = 3.6 x 10^{7} m

d = 3500 km = 3.5 x 10^{6} m

t = ?

**2. Relevant equations**

Pythagorean theorem to find l, but I’m not sure what equation to use to find time! Any help?

**3. The attempt at a solution**

I found the length of the hypotenuse between each town and the satellite:

l = √((3.6 x 10^{7})^{2} + (3.5 x 10^{6})^{2}) = 3.60 x 10^{7} m.

How do I go along from there?

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