Ruqayyah Y.

asked • 04/21/18

Please Answer ASAP. Thank you

A,B and C are three towns .
The bearing of B from A is 105°. The bearing of C from B is 230°.
The distance between C from A is 180 km. The distance of C from B is 95km
Calculate the distance of B from A .
 
Please could you answer this question ASAP
It's an IGCSE question ... I just can't figure it out hiw to do it

1 Expert Answer

By:

Mark M. answered • 04/21/18

Tutor
5.0 (278)

Mathematics Teacher - NCLB Highly Qualified

See tutors like this
See tutors like this
Did you draw and label a diagram?
I did and it is obvious.
m∠CBA = 40°
Use Law of Sines to determine m∠A
Then Law of Cosines to determine BA
Upvote • 1 Downvote
More
Report

Ruqayyah Y.

Thanks for your answer . 
Yes I did draw a diagram 
Basically I labelled it as the following :
Angle A is 105 °
Angle B is 230°
Length CA is 180km
Length CB I'd 95km
 
Have I labelled my diagram correctly or not?
If you could just tell me how yout got angle CBA as 40°?
Report

04/21/18

Mark M.

Label point E above B and horizontal to C.
m∠ECB = 40°  (270° - 230°)
m∠EBA = 105° (given)
m∠EBC = 50° (compliment of ∠ECB)
m∠CBA = 45° (105° - 50°) and there is my error. Sorry.
Report

04/21/18

Ruqayyah Y.

Thank you so much for the answer.
So sorry I just saw the comment now .
But thank you so much 
Report

04/22/18

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.