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3 years ago

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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 fl

agpole, 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

1 answer:

Arlecino [84]3 years ago

8 0

Answer:

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

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Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample of 3 is taken at random without replacemen

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b.) 0.66

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Step-by-step explanation:

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c.)

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