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Length of the bridge calculation:
The first step in solving this problem is to determine the speed of the train in m/s. Since 1 km/hr is equal to 5/18 m/s, the speed of the train in m/s is 45 * 5/18 = 12.5 m/s.

Calculating the time taken to cross the bridge:
We are given that the train can cross the bridge in 30 seconds. To find the time taken by the train to cross the bridge, we use the formula: time = distance/speed. Therefore, time = 130 m / 12.5 m/s = 10.4 seconds.

Calculating the total distance crossed:
The total distance covered by the train in 30 seconds is the sum of the length of the train and the length of the bridge. We can represent the length of the bridge as x meters. Therefore, 130 m (length of train) + x m (length of bridge) = total distance covered in 30 seconds.

Putting it all together:
Given that the total time taken to cross the bridge is 30 seconds, we have calculated that the train takes 10.4 seconds to cross the distance of the bridge. This means that the remaining time (30 seconds - 10.4 seconds = 19.6 seconds) is the time taken by the train to cross the length of the bridge alone.
Therefore, the length of the bridge can be calculated as follows: 130 m (length of train) + x m (length of bridge) = total distance covered in 30 seconds. Since the total distance is covered in 30 seconds at a speed of 12.5 m/s, we can calculate the length of the bridge using the formula: 12.5 m/s * 19.6 seconds = x meters.
Therefore, x = 244 meters. Hence, the length of the bridge is 244 meters.