Aaron ran 3 km on the bearing 213 degrees, then 2.5 km on the bearing 303 degrees. Find Aaron’s distance and bearing from his starting point.(hint… make sure you draw this situation clearly)

Question

Aaron ran 3 km on the bearing 213 degrees, then 2.5 km on the bearing 303 degrees. Find Aaron’s distance and bearing from his starting point.(hint… make sure you draw this situation clearly)

Answer 1

a/sinα=b/sinβ=c/sinγ

γ=303-213=90°

270-213=57°=β

α=33°

2.5/sin33°=3/sin57°=c (sin90=1)

2.5/.5446=4.59=c