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 ADC measures 45 degrees, and angle BDC measures 30 degrees. The length of DC is 5 multiplied by square root of 3. Angle ADC measures 45°, and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?. A. 3.66 feet B.13.66 feet C. 8.66 feet D. 5 feet

  A.  3.66 feet

Step-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

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

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we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

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