Trigonometry
posted by Zackary
In an explosion, a piece of debris is tossed 99 meters N 45 W. what is the displacement in the north and west directions. I'm not really sure what it wants when it asks for displacement so I also don't know how to get it.

Reiny
N45W > an angle of 135° using trig notation.
So we are decomposing your vector into its vertical and horizontal displacement.
horizontal: 99cos 135
= 99(√2/2) = appr  70 metres
vertical : 99 sin 135° = appr 70 metres
notice if you construct a rightangled triangle in the 2nd quadrant having an angle of 135° and a hypotenuse of 99 metres, the height can be found:
h/99 = sin135 > h = 99sin135 = appr 70
the base is :
b/99 = cos135 > b = 99cos 135 = appr 70
the ordered pair of the end of the hypotenuse is about (70, 70)
Respond to this Question
Similar Questions

physics
the number on the left is the displacement, on the right is the vector. The person travelling i order of the numbers ....not sure how to explain this because there are no instructions only a shart with the titles of the categories … 
physic
julianna walked 45 meters east, 45 meters souuth, and 45 meters north. what is her resultant displacement? 
Physics
A crow flies in two successive displacements to a point that is 80 m to the west. Its first displacement is 80 m in a direction θ = 50° west of north. What is the magnitude of its second displacement? 
Physics
I really need help... You are on a treasure hunt and your map says "Walk due west for 52 paces, then walk 29.0° north of west for 39 paces, and finally walk due north for 25 paces." What is the magnitude of the component of your displacement … 
Physics
A person travels 4 meters North 6 meters West and 4 meters South. what is the total displacement? 
Physics
A person travels 4 meters North 6 meters West and 4 meters South. what is the total displacement? 
Physics
On the way to class, you walk north and then west such that your resultant displacement is 290 m in a direction 250 west of north. Your average velocity is 2.0 m/s in the same direction as the displacement. Calculate (a) your walking … 
Physics
On the way to class, you walk north and then west such that your resultant displacement is 290 m in a direction 25deg west of north. Your average velocity is 2.0 m/s in the same direction as the displacement. Calculate (a) your walking … 
psychics
In wandering, a grizzly bear makes a displacement of 1586 m due west, followed by a displacement of 3289 m in a direction 30.0° north of west. What are the magnitude and the direction of the displacement needed for the bear to return … 
physics
you walk west for 52 m, then you walk 33.2° north of west for 44 m, and finally you walk due north for 25 m. Find the components of your final displacement, from your initial to final point, along the north and west directions.