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An eagle is flying at a speed of 130 \(km/h\). If the angle of elevation of an eagle from a point on the ground is 45\(^{\circ}\). After 13 seconds, the angle of elevation changes to 30\(^{\circ}\), then the altitude of the eagle from the ground is \(km\). (Use \(\frac{1}{\sqrt{3}} = 0.577\))
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