Asked by Alley
A ship leaves port A and travels 60 miles due west to point C. It then adjusts its course 37 degrees northward. It travels 98 miles in that direction until it reaches port B. What angle with respect to due north could the ship have used to travel directly from port A to B?
Answers
Answered by
Damon
west distance = 60 + 98 cos 37 = 138
north distance = 98 sin 37 = 59
tangent of angle north of west = 59/138
angle north of west = 23 degrees n of w
that is 270 + 23 = 293 degrees clockwise from North (compass heading)
north distance = 98 sin 37 = 59
tangent of angle north of west = 59/138
angle north of west = 23 degrees n of w
that is 270 + 23 = 293 degrees clockwise from North (compass heading)
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