A surveyor measures the distance across a straight river by the following method

Question

A surveyor measures the distance across a straight river by the following method. Starting directly across from a tree on the opposite bank, she walks d = 104 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is ? = 41.0

A surveyor measures the distance across a straight river by the following method. Starting directly across from a tree on the opposite bank, she walks d = 104 m along the riverbank to establish a baseline. Then she sights across to the tree. The angle from her baseline to the tree is ? = 41.0 degree . How wide is the river?

Explanation / Answer

let w be width of river

then,

tan41 = w / d

or, w = d tan41 = 104 * tan41 = 90.405 m

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