A jogger runs directly east for 3 km, then turns andgoes northwest for 5 km. He

Question

A jogger runs directly east for 3 km, then turns andgoes northwest for 5 km. He then travels directly south for 5km.
1.)How far is he from the starting point?(km)
2.)In whatdirection is he from the starting point(measured as an anglecounterwise from the east axis, units are deg)? (Northwest is thedirection lying exactly half way between north andwest.)
1.)How far is he from the starting point?(km)
2.)In whatdirection is he from the starting point(measured as an anglecounterwise from the east axis, units are deg)? (Northwest is thedirection lying exactly half way between north andwest.)

Explanation / Answer

Add the vectors to find the answer. east is i and north isj 3i + 5cos(45)j - 5cos(45)i - 5j= -0.535i - 1.464j the total distance from the start is found by pythagoreans theorem=1.559km   

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