Check 0/1 ptRetries 3Reattempts 19 A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 114 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 39.5 degrees. How wide is the river

Respuesta :

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Answer:

93.97 m

Step-by-step explanation:

Using the solution diagram attached ;

Let w = width of the river

Using trigonometric relation :

Tan θ = opposite / Adjacent

Tan 39.5 = width, w / 114

Width, w = 114 * tan 39.5

Width of river = 114 * 0.8243363

Width of river = 93.97 m

Ver imagen fichoh