anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
can anyone help me out with this
anonymous
  • anonymous
the answer choices are 10, 15, 20, and 25
campbell_st
  • campbell_st
is C the base of the flagpole..?

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anonymous
  • anonymous
1 Attachment
campbell_st
  • campbell_st
|dw:1434659361131:dw|
anonymous
  • anonymous
i posed a picture of the triangle
campbell_st
  • campbell_st
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
anonymous
  • anonymous
thank you! wait is the answer 10ft?
campbell_st
  • campbell_st
I don't know I haven't done the calculation
anonymous
  • anonymous
can you walk me through it
campbell_st
  • campbell_st
ok... so do you know the exact value of tan(30) and tan(60)..?
anonymous
  • anonymous
tan60 is 1.73205080757
anonymous
  • anonymous
tan30 is 0.57735026919
campbell_st
  • campbell_st
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
campbell_st
  • campbell_st
last step AB = AC - BC
anonymous
  • anonymous
i got 20ft?
campbell_st
  • campbell_st
I think you need to check the calculations
anonymous
  • anonymous
ok let me check
anonymous
  • anonymous
ohhhhh ok so now i see what i did wrong is the answer 15?
campbell_st
  • campbell_st
well AC is 15 now calculate BC
anonymous
  • anonymous
so bc is 5 right?
campbell_st
  • campbell_st
yes
anonymous
  • anonymous
that would mean the answer is 10 right?
campbell_st
  • campbell_st
correct
anonymous
  • anonymous
THANK SO MUCH !!!!!!!

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