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Answer:The distance of the woman from the pole is 60.9 ft.Step-by-step explanation:Please, see the attached figure for a graphical description of the problem.Using trigonometry of right triangles, we can solve this problem.We know, by trigonometry, that the tangent of an angle is equal to the quotient between the length of the side opposite to the angle and the length of the side adjacent to the angle. For the angle α:tan α = opposite / adjacentThen, in this case, we have two equations (see the figure for a better understanding):tan 14° = x /dtan 18° = (35 -x) /dWe have a system of 2 equations with 2 unknowns, let´s solve it!Solving the first equation for x:tan 14° = x /dd · tan 14° = xReplacing x in the second equation:tan 18° = (35 -x) /dtan 18° = (35 - d · tan 14°)/dd · tan 18° = 35 - d · tan 14°d · tan 18° + d · tan 14° = 35d (tan 18° + tan 14°) = 35d = 35/(tan 18° + tan 14°)d = 60.9 ftHave a nice day!...

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