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anonymous
 one year ago
The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:
Triangle ABC has length of BC equal to 16 inches. A line segment DC joins the point D on AB with point C. Measure of angle ABC is 90 degrees, ACD is 15 degrees and measure of angle DCB is 30 degrees.
What is the length of the wood that is needed to replace AD?
anonymous
 one year ago
The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced: Triangle ABC has length of BC equal to 16 inches. A line segment DC joins the point D on AB with point C. Measure of angle ABC is 90 degrees, ACD is 15 degrees and measure of angle DCB is 30 degrees. What is the length of the wood that is needed to replace AD?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.06.8 inches 6.2 inches 3.2 inches 2.8 inches

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I thought maybe doing 15 divided by 2 would work but i got 7.5 inches and thats not an option so im assuming there's a step im missing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I should have looked down at the picture...it took me forever to draw by hand.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, so if you think about it, there is a little triangle inside the larger triangle ABC

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, let's draw that triangle out separately

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440107397764:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I take that back...sorry, I thought we were trying to figure out line segment DC...just kidding, we want AD

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im guessing in order to find out the rotting piece needed to be replaced we have to find out how long side CD is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, I know the answer and there is probably an easier way to get there, but this is what makes sense in my mind...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0use the smaller triangle to figure out the length of DB.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440107651617:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so BC is 16 inches DB is 30 inches and 1801630=134 so Dc is 134

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0nope, we don't know DB...we know angle DCB is 30 degrees and we know side BC is 16 inches.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but since the angle is 30 degress wouldn't the side across from it be 30 inches?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440107798750:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if we pull the little triangle out it's easier to work with

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and nope...the side across from it is going to be an ugly number that we'll round a little bit to make it easier to work with.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the missing side x and the angle are related how?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because they're opposite from each other

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, and how are the angle and the 16 inch side related?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0they are adjacent to each other

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so you have opposite and adjacent which means what trig function?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so plug it in and actually solve it out to get a single number. It will be ugly looking so round to 2 digits past the decimal.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How would i solve/calculate this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I've gotta grab something off the printer...I'll be back in a minute

anonymous
 one year ago
Best ResponseYou've already chosen the best response.09.24 just to be a little more accurate

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry it took so long, I locked my keys in my room and had to go around.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lol it's fine so what would be the answer here then?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the largest option available is 6.8 inches.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, so right now you're only part way done...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now let's look at the big triangle...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440108392044:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so we have the adjacent and opposite again?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have to be somewhere at 7 on the dot so in an hour i have to go, just letting you know

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And once again i deeply appreciate your patience in helping me solve my geometry problems

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So we would do 15(tan)30?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I actually need to leave as soon as we're done with this problem. I'm in grad school and have a paper to write...plus it's past 5 and I'm still at school :(

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the angle isn't 30...we need all of angle C

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440108572263:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ahh so 45, and sorry for taking up so much time lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you're fine. like I said before, I don't teach math anymore so this is actually fun for me. :) and yes, 45

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what's the length of our missing side?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0nope...plug it in just like you did before...your set up was write, just the angle number was wrong. so 16 tan 45

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yup. so know you know side AB (the entire side) is 16 inches and you know DB is 9.24 so that means AD is ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0or when i put the calculator in Radian form, its 25.9 or 26

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok disregard that comment then

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the angle was given in degrees so don't use radian form :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You are amazing holy christ

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i have 3 more answers but with my new found knowledge maybe i can solve them on my own lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0questions not answers*

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well I wouldn't go that far...I realized just know that the big triangle ABC is a 454590 triangle which means both legs are equal...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we didn't need to do all that last part....

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you mind staying for just 3 more questions?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Like just answering them would be fine, as we're both on a time budget, but if you can't then i completely understand.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Unfortunately, I really have to go. The custodian is starting to wonder why I'm still here :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0lol alright see you then thanks for the help and time once again!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no problem! Best of luck on the rest of your problems :)
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