GPE = mgh
where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point.
In this case, we are given that the GPE of the eagle is 15000J, the height of the eagle is 200m, and the acceleration due to gravity is 9.8 m/s^2. Substituting these values into the formula, we have:
15000J = m * 9.8 m/s^2 * 200m
Solving for m, we get:
m = 15000J / (9.8 m/s^2 * 200m) = 7.65kg
Therefore, the mass of the eagle is 7.65kg.