dugenvileyplus.com/edugen/student/mainfruni MESSAGE MY INSTRUCTOR FULL scREEN PR

Question

dugenvileyplus.com/edugen/student/mainfruni MESSAGE MY INSTRUCTOR FULL scREEN PRINTER VERSION BACK NEK Chapter 03, Problem 005 A ship sets out to sail to a point 138 km due north. An unexpected storm blows the ship to a point 115 km due east of its starting point, (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination? (a) Number Units (b) Number Units Question Attempts Unlimited copy ight 20oo 2017 by John waev s sons in or reiated companies rights reserved

Explanation / Answer

Using pythagoras' theorem we find distance from its original destination:

Distance x = sqrt (a^2 + b^2)

                 = sqrt(138^2 + 115^2)

                  = 179.64 km

direction = tan^-1 (a/b)

                 = tan^-1(138/115)

               = 50.2 degrees

or

try angle 39.8 degrees

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