Joggers Amelia and Kristos depart from the same position at the same time

MATHEMATICS · Subjective · IGCSE · Maths · Geometry · Geometry

Problem

Joggers Amelia and Kristos depart from the same position at the same time. Amelia jogs in the direction 074∘074^\circ, and Kristos jogs in the direction 164∘164^\circ. After 30 minutes, Amelia has jogged 2 km further than Kristos, and her bearing from Kristos is 044∘044^\circ. How far apart are the joggers at this time?

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