Question

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 = 116 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 = 34.0°. How wide is the river?

Y = _______ m

Answer 1

d=X=116m

Angle$(\theta)=34°$

We know that

$tan\theta=\frac{Y}{X}$

$Y=Xtan\theta$

Where X=d=116m

$Y=116\times tan 34°$

$Y=116\times0.6745=78.24m$