A satellite is lauched in the equatorial plane in such a way that it can transmit signals upto `60^(@)` latitude on the earth. The orbital velocity of the satellite is found to be `sqrt((GM)/(alphaR))` find the find of `alpha`

Explanation

To solve the problem, we need to find the value of \( \alpha \) in the expression for the orbital velocity of a satellite. The satellite is launched in such a way that it can transmit signals up to \( 60^\circ \) latitude on Earth.

### Step-by-Step Solution:

1. **Understanding the Geometry**:
- The satellite transmits signals up to \( 60^\circ \) latitude. This means that the satellite can communicate with points on the Earth up to this latitude.
- The Earth can be represented as a circle, and the radius of the Earth is denoted as \( R \).
- The line from the satellite to the point on the Earth at \( 60^\circ \) latitude forms a right triangle with the radius of the Earth.
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