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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 118 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline to the tree is 36.0°. How wide is the river?

Respuesta :

Answer:

W = 85.73 m

Explanation:

given,

surveyor walks = 118 m

makes an angle of = 36.0° with the tree

to find the width of the river

[tex]tan \theta = \dfrac{W}{distance}[/tex]

[tex]tan 36^0 = \dfrac{W}{118}[/tex]

[tex]tan 36^0 = \dfrac{W}{118}[/tex]

[tex]W = 118 \times 0.7265[/tex]

W = 85.73 m

hence, the width of the river is equal to W = 85.73 m

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