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To find the height of the second triangle, we need to find the area of the first triangle and subtract it from the total area of the composite figure.
The area of the first triangle is (1/2) * 4cm * 3cm = 6 square cm.
The area of the second triangle is 52 square meters - 6 square meters = 46 square meters.
Now, we can use the area formula for a triangle to find the height of the second triangle.
Area = (1/2) * base * height
46 square meters = (1/2) * 8cm * height
46 square meters = 4cm * height
height = 46 square meters / 4cm
height = 11.5 meters
Therefore, the height of the second triangle is 11.5 meters.