Question

The picture shows a barn door:

Answer 1

What is the length of the bar AC?

6 sin 60°
6 cos 60°
6 divided by cos 60 degrees
6 divided by tan 60 degrees

Answer 2

@mathstudent55

Answer 3

So what would be the next step?

Answer 4

Can you work out the answer now?

Answer 5

Do you know the rule -30-60-90 degree angles
30 degree will equal 1x
60 degree will equal x(sqrt3)
90 degree will equal 2x
We know the side corresponding to 90 degrees is 6
So 2x=6 and x =3
The angle we are looking for is 30 so we already go the side length was 3
By using a calculator you can find that 6 times cos60 equals 3

Answer 6

Hmm I think i get what you rsaying

Answer 7

So would it be B?

Answer 8

Yes the answer is B, you can also find the answer by using law of sines, and setting
(sin90/6)=(sin30/x)
And then cross multiply for x and get 3

Answer 9

That makes sense, thank you so much. I really appreciate this

Answer 10

No problem :)

Answer 11

Is it alright if i tag you in future questions?

Answer 12

Of course :) you can tag me in anything that is from beginners math till Calculus and also in other topics like Biology, History and etc.

Answer 13

Awesome!!!