Final answer:
To find the width of the river, use trigonometry. The width of the river is approximately 64.59 m.
Step-by-step explanation:
To find the width of the river, we can use trigonometry. Since the surveyor walks along the river for 100 m, this represents the baseline of a right triangle. The angle from the baseline to the tree is 35°. We can use the tangent function to find the width of the river.
tan(35°) = opposite/adjacent
tan(35°) = width/100
width = 100 * tan(35°)
The width of the river is approximately 64.59 m.