2023
Mathematics
JAMB
A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.
A.
217o
B.
323o
C.
037o
D.
053o
Correct Answer: 323o
Explanation
tan θ = opp/adj = RQ/QP = 6/8 tan θ = 0.75 θ = tan−1(0.75) = 36.87° ∴ The bearing of R from P = 360° - 36.87° = 323° (to the nearest degree)
tan θ = opp/adj = RQ/QP = 6/8 tan θ = 0.75 θ = tan−1(0.75) = 36.87° ∴ The bearing of R from P = 360° - 36.87° = 323° (to the nearest degree)THIS WEEK's
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