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.

Question

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 · Answer

attachment

anonymous · Answer

i beleive this is trig and you use cosin for this

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

just look at the triangle part

anonymous · Answer

ok

anonymous · Answer

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

anonymous · Answer

find the hypotenuse

anonymous · Answer

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

anonymous · Answer

45000=c^2
c=212.132034356

anonymous · Answer

to find the answer, do 212.132034356-150

anonymous · Answer

do you understand?

anonymous · Answer

or do i need to clarify a few things?

anonymous · Answer

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

anonymous · Answer

Can you help me on another question?

anonymous · Answer

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

anonymous · Answer

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 · Answer

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 · Answer

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

anonymous · Answer

now its time to do some trig

anonymous · Answer

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

anonymous · Answer

do you have a calculator?(scientific one pref)

anonymous · Answer

no but I can find one online

anonymous · Answer

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

anonymous · Answer

its fine can you just try and explain it to me

anonymous · Answer

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

anonymous · Answer

Can you just draw it out like other people do?

anonymous · Answer

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

anonymous · Answer

okay Thank you :)

anonymous · Answer

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 · Answer

well the list of vids for trig

anonymous · Answer

Thanks for your help.:)

anonymous · Answer

np

anonymous · Answer

106.1 is  that the right answer? @jacobrocket173