Answer:
93.97 m
Step-by-step explanation:
Using the solution diagram attached ;
Let w = width of the river
Using trigonometric relation :
Tan θ = opposite / Adjacent
Tan 39.5 = width, w / 114
Width, w = 114 * tan 39.5
Width of river = 114 * 0.8243363
Width of river = 93.97 m