139k views
2 votes
Find the distance across the river.

A) Upstream distance
B) Downstream distance
C) Diagonal distance
D) Cross-river distance

1 Answer

2 votes

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.

User Flix
by
8.0k points