Instructions for finding a buried treasure include the following: Go 745.6 paces at 298◦, turn to 204◦ and walk 178 paces, then travel 490 paces at 55◦

Find the magnitude of the resultant displacement from the starting point. Answer in Units of paces.
(Part 2)
What is the direction of the resultant displacement? Use counterclockwise from due east as the positive angular direction, between the limits of −180◦ and +180◦. Answer in units of ◦

1 answer

D = 745.6[298o] + 178[204o] + 490[55o]

X=745.6*cos298 + 178*cos204 + 490*cos55=
468.5 Paces.

Y=745.6*sin298 + 178*sin204 + 490*sin55=
-329.3 Paces.

Tan A = Y/X = -329.3/468.5 = -70291
A = -35.1o = 324.9o CCW = Direction.

Displacement=X/Cos A = 468.5/Cos 324.9 = 573 Paces.
Similar Questions
  1. Instructions for finding a buried treasure includethe following: Go 585.3 paces at 156◦ , turn to 215◦ and walk 282 paces,
    1. answers icon 8 answers
    1. answers icon 0 answers
  2. Hi Guys!Need help with this physics problem, I have no idea how to set it up or how to visualize it but would appreciate any
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions