Adam sets out for a hike from his camp at point A. He hikes at an average speed of 4.2 km/h for 45 minutes, on a bearing of 035° from the camp, until he stops for a break at point B.
(a) Find the distance from point A to point B.
Adam leaves point B on a bearing of 114∘ and continues to hike for a distance of 4.6 km until he reaches point C.
(b.i) Show that ABC^ is 101∘.
(b.ii) Find the distance from the camp to point C.
(c) Find BCA^.
Adam's friend Jacob wants to hike directly from the camp to meet Adam at point C.
(d) Find the bearing that Jacob must take to point C.
(e) Jacob hikes at an average speed of 3.9 km/h. Find, to the nearest minute, the time it takes for Jacob to reach point C.