Question

25 points pluss brainliest!!! math.

Answer 1

Answer:  9.97

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Explanation:

y = distance from the base of the pole to the closest person

y+200 = total horizontal distance

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Focus on the smaller right triangle.

tan(angle) = opposite/adjacent

tan(26) = 55/y

y*tan(26) = 55

y = 55/tan(26)

y = 112.76671 approximately

Make sure your calculator is in degree mode.

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Now move to the larger right triangle

tan(angle) = opposite/adjacent

tan(x) = 55/(y+200)

tan(x) = 55/(112.76671+200)

tan(x) = 55/312.76671

tan(x) = 0.17585

x = arctan(0.17585) same as $\tan^{-1}$

x = 9.97349

x = 9.97 degrees approximately