A path separates two walls. A ladder leaning against one wall rests at a point on the path. It reaches a height of $90 \mathrm{m}$ on the wall and makes an angle of $60°$ with the ground. If while resting at the same point on the path, it were made to lean against the other wall, it would have made an angle of $45°$ with the ground. The height, it would have reached on the second wall is _____ $\mathrm{m}$ (Round off the final answer upto two decimal places)