0/3 points | Previous Answers SerCP10 3.P.006 My Notes Ask Your Teach An airplan

Question

0/3 points | Previous Answers SerCP10 3.P.006 My Notes Ask Your Teach An airplane flies 200 km due west from city A to city B and then 255 km in the direction of 28.0° north of west from city B to city C (a) In straight-line distance, how far is city C from city A? 412.4200326 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results least four-digit accuracy to minimize roundoff error. km at (b) Relative to city A, in what direction is city C? 14.84 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.o north of west (c) Why is the answer only approximately correct? This answer has not been graded yet. Need Help?

Explanation / Answer

a)

d = sqrt(x^2 + y^2)

x = 200 + 255* cos(28de)

x = 425.15 m

then

y = 0 + 255 * sin(28 deg)

y = 119.71 m

then the magnitude is

d = sqrt( 425.15^2 + 119.71^2 )

d = 441.68 m

b)

the direction is

theta = tan^-1( 119.71 / 425.15 )

theta = 15.73 deg

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