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anonymous

  • one year ago

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 60 degrees and angle BDC measures 30 degrees. The length of DC is 5 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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  1. anonymous
    • one year ago
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    can anyone help me out with this

  2. anonymous
    • one year ago
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    the answer choices are 10, 15, 20, and 25

  3. campbell_st
    • one year ago
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    is C the base of the flagpole..?

  4. anonymous
    • one year ago
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  5. campbell_st
    • one year ago
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    |dw:1434659361131:dw|

  6. anonymous
    • one year ago
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    i posed a picture of the triangle

  7. campbell_st
    • one year ago
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    so find the length AC using the tan ratio and an angle of 60 then find BC, again using the tan ratio and an angle of 30 the the distance AB is AC - BC hope it helps

  8. anonymous
    • one year ago
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    thank you! wait is the answer 10ft?

  9. campbell_st
    • one year ago
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    I don't know I haven't done the calculation

  10. anonymous
    • one year ago
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    can you walk me through it

  11. campbell_st
    • one year ago
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    ok... so do you know the exact value of tan(30) and tan(60)..?

  12. anonymous
    • one year ago
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    tan60 is 1.73205080757

  13. anonymous
    • one year ago
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    tan30 is 0.57735026919

  14. campbell_st
    • one year ago
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    here is the start\[\tan(60) = \frac{AC}{5 \sqrt{3}}~~~then~~~AC = 5 \sqrt{3} \times \tan(60)\] and \[\tan(30) = \frac{BC}{5\sqrt{3}}~~~~~then~~~~BC = 5\sqrt{3} \times \tan(30)\] hope it helps

  15. campbell_st
    • one year ago
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    last step AB = AC - BC

  16. anonymous
    • one year ago
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    i got 20ft?

  17. campbell_st
    • one year ago
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    I think you need to check the calculations

  18. anonymous
    • one year ago
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    ok let me check

  19. anonymous
    • one year ago
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    ohhhhh ok so now i see what i did wrong is the answer 15?

  20. campbell_st
    • one year ago
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    well AC is 15 now calculate BC

  21. anonymous
    • one year ago
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    so bc is 5 right?

  22. campbell_st
    • one year ago
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    yes

  23. anonymous
    • one year ago
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    that would mean the answer is 10 right?

  24. campbell_st
    • one year ago
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    correct

  25. anonymous
    • one year ago
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    THANK SO MUCH !!!!!!!

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