HELP PLEASE!An airline serves four cities, Abbott, Bache, Cabot, and Dacoma. These are labeled located at points A, B, C and D respectively. Currently, the solid lines represent the airlines present routes. Point F represents the new airport which is being built. This will add four new airline routes, noted by the dotted lines.
Currently, travelers who wish to travel from Abbott to Cabot have to first travel to Bache. After, the new airport, F, is built, how many miles will a passenger save traveling from Abbot to the new airport to Cabot? Round your answer to the nearest tenth.

- anonymous

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- anonymous

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- anonymous

i beleive this is trig and you use cosin for this

- anonymous

its been awhile since ive done this so i rly cant help other than you use cosine or sine

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- anonymous

wait, i see the solution now...its a little hard to explain tho

- anonymous

Can you try because I don't understand how to solve it?

- anonymous

just look at the triangle part

- anonymous

ok

- anonymous

since its a right angle triangle, and the angle given is 45, the other angle is 45 and the other leg is 150

- anonymous

find the hypotenuse

- anonymous

a^2+b^2=c^2
150^2+150^2=c^2

- anonymous

45000=c^2
c=212.132034356

- anonymous

to find the answer, do 212.132034356-150

- anonymous

do you understand?

- anonymous

or do i need to clarify a few things?

- anonymous

I understand I just got confused. Do you know of a website that can help me understand this more?

- anonymous

Can you help me on another question?

- anonymous

no not rly, people have suggested purplemath.com and sure

- anonymous

With the same picture.Currently, travelers who want to travel from Bache to Dacoma have to travel through Cabot. How many miles will the new airport save travelers flying from Bache to Dacoma?

- anonymous

How will i figure this one out? I have many question similar but I feel like if you help me understand these two it'll be easier for me.

- anonymous

great, sines, cosines, and tangents just came out of this problem

- anonymous

now its time to do some trig

- anonymous

okay & how would I do that? Its difficult for me since I've been out of school for a while-.-

- anonymous

do you have a calculator?(scientific one pref)

- anonymous

no but I can find one online

- anonymous

then this will be a bit harder for you since i have one in my hand rn

- anonymous

its fine can you just try and explain it to me

- anonymous

we're using sine btw and its easier to show than explain on this and try kahnacademy.com

- anonymous

Can you just draw it out like other people do?

- anonymous

im trying to find the right vid on kahnacademy to show you since thats the easiest way rn

- anonymous

okay Thank you :)

- anonymous

https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/sin-angle-addition
start here first, the guy will explain everything and if you want a list of the vids he does then they are right here:
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry

- anonymous

well the list of vids for trig

- anonymous

Thanks for your help.:)

- anonymous

np

- anonymous

106.1 is that the right answer? @jacobrocket173

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