# Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole, as shown below: Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole. Angle ADB measures 60 degrees and angle BDC measures 30 degrees. The length of DC is 10 multiplied by square root of 3. Angle ADC measures 60° and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

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Answer:

Answer: A. 3.66 feetStep-by-step explanation:Using trigonometry, we know that ... BC = DC·tan(30°) AC = DC·tan(45°) AB = AC -BC = DC(tan(45°) -tan(30°)) AB = 5√3·(1 -√3/3) = 5(√3 -1) AB ≈ 3.66 . . . feet
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