An expedition walks 4 kilometers from camp on a bearing of 30 degrees, then turns and walks 10 km on a bearing of 160 degrees. Find the magnitude of the new location relative to the beginning location using vectors.

-> if you can, can you possibly show how the triangle would look like along with how to solve it using vectors/ vector formula.
-> here's what I have so far: v1=4(cos60, sin60), v2=10(cos70, -sin70), v1+v2=vr, ||vr||=sqrt of vectors^2 from vr

  1. 👍 0
  2. 👎 0
  3. 👁 511
  1. Disp. = 4km[30o] + 10km[160o].

    X = 4*Cos30 + 10*Cos160 = -5.93km.
    Y = 4*sin30 + 10*sin160 = 5.42km.

    Tan A = Y/X = 5.42/(-5.93) = -0.91403, A = -42.43o N. of W.137.6o CCW from + x-axis.

    Disp. = X/Cos A = (-5.93)/Cos137.6 = 8.03 km[137.6]

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.20 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to

  2. Maths

    The bearing of A from B is 060 degrees. What is the bearing of B from A? Is it: a) 60 degrees b) 240 degrees c) 120 degrees d) 200 degrees p.s. The questions I sent earlier was an acccident To get reciprocal bearings, add 180

  3. Math

    George has a goal of walking 9/2 kilometers today. Each time he walks to school and back, he walks a total of 1/2 kilometers. What is the meaning of 9/2 divided by 1/2? a. The speed in kilometers per hour that George needs to walk

  4. math

    Ms. Handler walks to work at an average speed of 5 kilometers per hour. If she increases her speed to 6 kilometers per hour, she will save 10 minutes. Find the distance she walks.

  1. Pre-Calculus

    You are taking a flight from Daytona Beach to St. Louis. There is a stopover in Atlanta. The bearing from Daytona Beach to Atlanta is N 38.3 degrees W. The bearing from Dayton directly to St. Louis is N 43.4 degrees W. The

  2. maths

    A girl starts at A and walks 2km south to B.she then walks 3km west to C.find the distance and bearing of C from A.

  3. Physics 1

    A mountain-climbing expedition establishes two intermediate camps, labeled A and B in the drawing, above the base camp. (x1 = 10500 m, and x2 = 17500 m.) What is the magnitude Är of the displacement between camp A and camp B?

  4. Math

    A girl starts from a point A and walks 285m to B on a bearing of 078°, she then walks due south to a point c which is 307m from A. What is the bearing of A from C, and what is /BC/

  1. Geometry

    A ship sails 5 km from a port A on a bearing of 85 degrees and then 6 km on a bearing of 50 degrees. Calculate the distance and bearing from A.

  2. Physics

    A mountain-climbing expedition establishes two intermediate camps, labeled A and B in the drawing, above the base camp. What is the magnitude Δr of the displacement between camp A and camp B?

  3. physics

    A man walks 40 meters north and turns and walks 60 meters in a direction 30 degrees to the east of north. What is the distance traveled? What is his displacement?

  4. physics

    A hiker begins a trip by first walking 25.0 km 45.0° south of east from her base camp.On the second day she walks 40.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger’s tower.Find the

You can view more similar questions or ask a new question.