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:

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 f

Angle ADC measures 60° and angle BDC measures 45°. What is the distance between the points A and B on the flagpole? (1 point)

6.59 feet
1.73 feet
4.32 feet
2.56 feet

I really appreciate all of the help that I have received from you guys

Answer 1

@kacchan

Answer 2

sin 60 = AC / DC => DC = AC /(sin 60)
=> DC = DC => AC/(sin 60) = BC/(sin 45)
sin 45 = BC / DC => DC = BC/(sin 45)

AC = AB + BC

(AB +BC)/(sin 60) = BC/(sin 45)

AB +BC = BC*(sin 60)/(sin 45)

AB = BC*(sin 60)/(sin 45) - BC

Answer 3

so its c?

Answer 4

you need to know the value of sin 60 = sqrt3 /2
and sin 45 = sqrt2 /2

Answer 5

yeah, so c?

Answer 6

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
sin 60 = AC / DC => DC = AC /(sin 60)
=> DC = DC => AC/(sin 60) = BC/(sin 45)
sin 45 = BC / DC => DC = BC/(sin 45)

AC = AB + BC

(AB +BC)/(sin 60) = BC/(sin 45)

AB +BC = BC*(sin 60)/(sin 45)

AB = [BC*(sin 60)/(sin 45)] - BC
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 7

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Karlottalotta
yeah, so c?
\(\color{#0cbb34}{\text{End of Quote}}\)
you need make the calcule - i ve wrote just the way how you get it

Answer 8

@Laylalyssa

Answer 9

Im very confused

Answer 10

ahh! its 6.59

Answer 11

Thank you for all of your help!

Answer 12

mhm

Answer 13

\(\color{#0cbb34}{\text{Originally Posted by}}\) @kacchan
mhm
\(\color{#0cbb34}{\text{End of Quote}}\)
you just dipped my guy

Answer 14

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Karlottalotta
\(\color{#0cbb34}{\text{Originally Posted by}}\) @kacchan
mhm
\(\color{#0cbb34}{\text{End of Quote}}\)
you just dipped my guy
\(\color{#0cbb34}{\text{End of Quote}}\)
i said the answer but i deleted it bc i got reported again

Answer 15

and i just got reported as a sent that to you oml

Answer 16

\(\color{#0cbb34}{\text{Originally Posted by}}\) @kacchan
and i just got reported as a sent that to you oml
\(\color{#0cbb34}{\text{End of Quote}}\)
ooooo they bogus for that

Answer 17

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Karlottalotta
\(\color{#0cbb34}{\text{Originally Posted by}}\) @kacchan
and i just got reported as a sent that to you oml
\(\color{#0cbb34}{\text{End of Quote}}\)
ooooo they bogus for that
\(\color{#0cbb34}{\text{End of Quote}}\)
its bc i gave a direct answer when im only supposed to help you not give you the answer

Answer 18

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Karlottalotta
Thank you for all of your help!
\(\color{#0cbb34}{\text{End of Quote}}\)
np anytime --- yw