Question

There are two similar right triangles, ABC, and CBD. Line AC = 6, angle A = 30 degrees. What is the length of line DB?

Answer 1

ok, you can find CB from the bigger triangle

Answer 2

tan(30) = CB / 6

Answer 3

angle b = 180 - 90 - 30 = 60

Answer 4

cos 60 = DB / CB

Answer 5

CB = 6 tan(30)

DB = CB*cos(60) = 6*tan(30)*cos(60) = .....

Answer 6

you follow that , or need more explanation?

Answer 7

bruh...

Answer 8

?

Answer 9

I don't know how to find CB. Can you give me an equation to figure it out?

Answer 10

yeah

Do you remember the tangent

Tangent(angle) = opposite side / adjacent side

Answer 11

Tan(a) = CB / AC

Answer 12

They gave you angle a=30 , and side AC = 6,

Answer 13

Hang on.

Answer 14

(.5774)(30)=180/4?

Answer 15

* 180/6

Answer 16

Sorry, that was stupid.

Answer 17

CB = 6*tan(30) = approx 3.464

Answer 18

Okay I'm with you.

Answer 19

You see how i put the 60 degrees for angle b?

Answer 20

Yeah

Answer 21

The sum of the angles for a triangle is 180 degrees.

180 = a + b + c

Answer 22

Then to get DB , you can use the cosine

Cos(60) = adjacent / hypotenuse

cos(60) = DB / 3.464

DB = 3.464*cos(60)

Answer 23

\[\sqrt{3}\]

Answer 24

? what is that for

Answer 25

Is that the answer?
1.73?

Answer 26

yep!

Answer 27

Thank you for your time and effort! I appreciate it!! :)

Answer 28

if you dont use decimals...

Answer 29

DB = 6*tan(30)*cos(60) =
\[6*\frac{ \sqrt{3} }{ 3 }*\frac{ 1 }{ 2 }\] =

DB = \[DB = \sqrt{3}~~ \approx 1.73\]