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Help with Physics please! Vectors!?
Ive tried this question several times and have correctly solved part A but part B i can not get correct. I got 55 degrees for part B but it says its incorrect! I also tried subtracting that from 180 to get 125 which it also says is incorrect. Im lost!
An airplane flies 200 km due west from city A to city B and then 315 km in the direction of 34.0° north of west from city B to city C.
(a) In straight-line distance, how far is city C from city A?
(i got 458km) which shows to be correct
(b) Relative to city A, in what direction is city C? (in degrees)
Thanks
1 Answer
- Anonymous10 years agoFavorite Answer
draw a perpendicular from C to to line/ segment AB (meeting at say point D on the extended line AB) . Now, look at triangle BCD. angle D=90deg and angle CBD= 34deg. so, CD is given by l(BC)*sin34 and BD isl(BC)*cos34. add BD to AB and get l(AB). now look at the right angled triangle ACD. you know lenths of AC (from part a),BD and CD. AC is the hypotenuse, so u get sin(required angle) =CD/AC
=> required angle = sin^-1(CD/AC)