Question

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?

20 feet
15 feet
10 feet
25 feet

Answer 1

I'll fan and Medal

Answer 2

How do I find AB?

Answer 3

find the length of AC

Answer 4

I have no Idea how to do that...

Answer 5

since we already know

AC - BC = AB

so

15 - 5 = ??

Answer 6

\(\huge\tan(45) = \frac{AC}{5\sqrt{3}}\)


\(AC = 5\sqrt{3} \times \tan(45)\)

Answer 7

So it is C? 10 feet?

Answer 8

yes:D

Answer 9

Awesome Possum, Lol @kittenlover731 can you give @YanaSidlinskiy a medal so I can medal you?

Answer 10

just did

Answer 11

You can keep the medals to yourself. I don't really need it. I didn't help as much, lol.

Answer 12

Thank Y'all!!

Answer 13

Welcome.