Question

Asked Nov 5, 2019

A surveyor measures the distance across a straight river by the following method: Starting directly across from a tree on the opposite bank, he walks *x* = 114 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline to the tree is θ = 36.8°. How wide is the river? y= ?

An overhead view of a straight, horizontal river, with a tree on the upper-left bank. A point is marked on the lower right bank. The horizontal distance to the tree from the point is labeled *x*, and the vertical distance from the tree across to the opposite bank is labeled *y*. The angle between the horizontal lower bank and a line segment connecting the point and the tree is labeled θ.

Step 1

The distance travelled along the blank to establish the baseline, x = 112m.

The angle from the baseline to the tree, θ = 36.8^{o}

Step 2

The diagram below shows...

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