Question

FAN + MEDAL

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:



Angle ADC measures 60° and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

Answer 1

.

Answer 2

I got you im checking what to do

Answer 3

OK THANKS

Answer 4

This is farely easy, i just haven't done geometry in a while. Do you know special triangles?

Answer 5

a little

Answer 6

when you know special triangles, it will give you the value for BD

Answer 7

ok

Answer 8

Here is a tab for the special triangle

Answer 9

http://www.mathwarehouse.com/geometry/triangles/right-triangles/images/picture-30-60-90-special-right-triangle.png

Answer 10

do you have any answer choices/

Answer 11

yes

Answer 12

40 feet

20 feet

30 feet

10 feet

Answer 13

@ganeshie8 can you help?

Answer 14

@mathmale can you help?

Answer 15

@YanaSidlinskiy can you help?

Answer 16

@satellite73 can you help?

Answer 17

AC:
\(\normalsize\tan(60) = \frac{AC}{10 \sqrt{3}} \implies \sqrt{3} = \frac{AC}{10 \sqrt{3}}\)

\(\normalsize\ AC = 10 \sqrt{3} \times \sqrt{3} = 30\)

BC:
\(\normalsize\ tan(30) = \frac{BC}{10 \sqrt{3}} \implies \frac{1}{\sqrt{3}} = \frac{BC}{10 \sqrt{3}} \implies BC = 10\)

\(\ AB = 30 - 10 = 20\)