Asked by Beatrice
An aeroplane flies due north from Ikeja airport for 500km.if their flies on a bearing of 060 for a further distance of 300km before overflying a road junction . calculate the distance of the aeroplane from Ikeja airport when it was directly above the junction (b).the bearing of the aeroplane from Ikeja airport at this instance
.
.
Answers
Answered by
Reiny
Make your sketch.
label the start I, the point of turning K, and the junction as J
In triangle KIJ, you have angle JKI = 120°, KI = 500, KJ = 300
using the cosine law,
IJ^2 = 500^2 + 300^2 - 2(500)(300)cos120°
IJ = .... , (careful with the cos120°, it is negative)
Once you have IJ, use the sine law to find angle I
label the start I, the point of turning K, and the junction as J
In triangle KIJ, you have angle JKI = 120°, KI = 500, KJ = 300
using the cosine law,
IJ^2 = 500^2 + 300^2 - 2(500)(300)cos120°
IJ = .... , (careful with the cos120°, it is negative)
Once you have IJ, use the sine law to find angle I
Answered by
henry2,
All angles are measured CW from +y-axis,
a. d = 500kmn[0o] + 300km[60o],
X = 500*sin0 + 300*sin60 = 259.8 km,
Y = 500*Cos0 + 300*Cos60 = 650 km,
d = sqrt(X^2 + Y^2) =
b. Tan A = X/Y,
A = ?.
a. d = 500kmn[0o] + 300km[60o],
X = 500*sin0 + 300*sin60 = 259.8 km,
Y = 500*Cos0 + 300*Cos60 = 650 km,
d = sqrt(X^2 + Y^2) =
b. Tan A = X/Y,
A = ?.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.