biology a biologist wants to know the width w of a river in order to properly set instruments for studying…

biology a biologist wants to know the width w of a river in order to properly set instruments for studying the pollutants in the water. from point a, the biologist walks upstream 100 feet and sights to point c. it is determined that θ = 58° (see figure). how wide is the river? the river is approximately feet. (round your answer to the nea

biology a biologist wants to know the width w of a river in order to properly set instruments for studying the pollutants in the water. from point a, the biologist walks upstream 100 feet and sights to point c. it is determined that θ = 58° (see figure). how wide is the river? the river is approximately feet. (round your answer to the nea

Answer

Explanation:

Step1: Use the tangent function

In a right - triangle, (\tan\theta=\frac{\text{opposite}}{\text{adjacent}}). Here, (\theta = 58^{\circ}), the adjacent side (a = 100) feet and the opposite side is the width (w) of the river. So, (\tan\theta=\frac{w}{100}).

Step2: Solve for (w)

Since (\tan\theta=\frac{w}{100}), then (w = 100\times\tan\theta). Substitute (\theta = 58^{\circ}). We know that (\tan(58^{\circ})\approx1.600334529). So, (w=100\times\tan(58^{\circ})\approx100\times1.600334529).

Answer:

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