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6.8 inches
6.2 inches
3.2 inches
2.8 inches

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I should have looked down at the picture...it took me forever to draw by hand.

ok, so if you think about it, there is a little triangle inside the larger triangle ABC

Yes i see that

ok, let's draw that triangle out separately

|dw:1440107397764:dw|

use the smaller triangle to figure out the length of DB.

How do we do that

OH

|dw:1440107651617:dw|

ok so BC is 16 inches DB is 30 inches and 180-16-30=134 so Dc is 134

nope, we don't know DB...we know angle DCB is 30 degrees and we know side BC is 16 inches.

but since the angle is 30 degress wouldn't the side across from it be 30 inches?

|dw:1440107798750:dw|

if we pull the little triangle out it's easier to work with

ok lol

so the missing side x and the angle are related how?

because they're opposite from each other

ok, and how are the angle and the 16 inch side related?

they are adjacent to each other

so you have opposite and adjacent which means what trig function?

Toa= tangent

How would i solve/calculate this?

Actually one sec

I've gotta grab something off the printer...I'll be back in a minute

Alright

30(tan)16=9?

9.24 just to be a little more accurate

sorry it took so long, I locked my keys in my room and had to go around.

lol it's fine so what would be the answer here then?

the largest option available is 6.8 inches.

or highest rather

ok, so right now you're only part way done...

now let's look at the big triangle...

Lol i just realized

|dw:1440108392044:dw|

so we have the adjacent and opposite again?

yup.

I have to be somewhere at 7 on the dot so in an hour i have to go, just letting you know

And once again i deeply appreciate your patience in helping me solve my geometry problems

So we would do 15(tan)30?

the angle isn't 30...we need all of angle C

|dw:1440108572263:dw|

ahh so 45, and sorry for taking up so much time lol

so what's the length of our missing side?

45?

it comes out as 16

or when i put the calculator in Radian form, its 25.9 or 26

oh ok disregard that comment then

the angle was given in degrees so don't use radian form :)

omg 6.76

You are amazing holy christ

i have 3 more answers but with my new found knowledge maybe i can solve them on my own lol

questions not answers*

we didn't need to do all that last part....

lol its fine

Do you mind staying for just 3 more questions?

Unfortunately, I really have to go. The custodian is starting to wonder why I'm still here :)

lol alright see you then thanks for the help and time once again!

no problem! Best of luck on the rest of your problems :)

lol thank you

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