Here we are given an angle 54 degrees. We know the length of the adjacent side: 100ft.

We need to find the length of the opposite side. The equation which involves both the adjacent and opposite is:

tan(theta) = opposite / adjacent.

Rearranging this equation gives opposite = adjacent * tan(theta).

Therefore the width of the river is 100ft * tan(54) = 137.64 feet to two decimal places.

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