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Bearings Trigonometry IGCSE/GCSE Mathematics 0580 Extended
Sat Mar 2, 2024
Bearings Topic of Trigonometry IGCSE/GCSE Mathematics 0580 Extended
Question: A boy walks 6 km from a point P to a point Q on a bearing of 065°. He then walks to a point R a distance of 13 km, on a bearing of 146°. Calculate the distance from P to R to the nearest Km.
Solution: According to the given conditions, the figure is shown below.
After working on the figure
Here ∟ x=∟y (alternate angles)
∟Y = 65°
∟Z + 146°= 180°
∟Z = 34°
∟PQR = y + z = 65° + 34° = 99°
Applying cosine rule
PR² = 6² + 13² - 2 × 6 × 13 × cos99° = 229.4
PR = √229.4 = 15.12 = 15 km
Answer 15 km
Ruchi Chhabra
Hi! I’m Ruchi. Graduate in Maths major from Lady Shri Ram College, Postgraduate in O.R. from Hansraj College DU. Teaching Math to high school students of IB, ICSE & CBSE boards and expert in teaching Vedic Math & Quant’s section of different competitive exams like CAT, SAT, GMAT, GRE, CLAT, NTSE and Math Olympiads, etc. Instructor of many Bestselling Courses in Math on Udemy.
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