Starting from one oasis, a camel walks 25km in a direction 30 degrees south of west and then walks 30km toward the north to a second oasis. What distance separates the two oases?

  1. 👍 0
  2. 👎 1
  3. 👁 3,201
  1. I made a quick sketch and found the angle between the two paths to be 60°
    So it becomes a simple Cosine Law

    x^2 = 25^2 + 30^2 - 2(25)(30)cos60
    = 775
    x = √775 = 27.84 appr.

    1. 👍 4
    2. 👎 3
  2. Take x as east, and y as north, and the starting position as (0,0).

    The coordinates of the first stop are
    (-25cos(30°), -25sin(30°)
    The second stop is simply 30km towards +y, or
    (-25cos(30°), 30-25sin(30°)

    Use Pythagoras theorem to calculate the distance from the original point (0,0).

    1. 👍 1
    2. 👎 1
  3. 50degrees

    1. 👍 1
    2. 👎 0
  4. 30

    1. 👍 1
    2. 👎 0
  5. Could not understand

    1. 👍 1
    2. 👎 2

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A dog searching for a bone walks 3.50 m south, then 8.20 m north of east, and finally 15.0 m west. (a) What is the magnitude of the dog's total displacement? (b) What is the direction of the dog's total displacement where directly

  2. science

    An airplane pilot sets a compass course due west and maintains an airspeed of 225km/h . After flying for a time of 0.520h , she finds herself over a town a distance 122km west and a distance 15km south of her starting point. Part

  3. math

    A man walks due west for 4km. He then changes direction and walks on a bearing of 179 until he is south-west of his starting point.How far is he then from his starting point?

  4. psychics

    A hiker leaves her camp and walks 3.5 km in a direction of 55° south of west to the lake. After a short rest at the lake, she hikes 2.7 km in a direction of 16° east of south to the scenic overlook. What is the magnitude of the

  1. Physics

    Oasis B is a distance d = 7.0 km east of oasis A, along the x axis shown in the figure. A confused camel, intending to walk directly from A to B instead walks a distance W1 = 22 km west of due south by angle θ1 = 15.0°. It then

  2. physics

    a man walks 10 meters in a direction of 20 degrees North of East, then 20 meters in a direction due west. What is his total displacement vector in component form

  3. physics

    Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks 25.0 in a direction 60.0 west of north. Jane walks 14.0 in a direction 30.0 south

  4. Physics

    A person walks the path shown below. The total trip consists of four straight-line paths. Path 1 is 40.0 m due east. Path 2 is 170.0 m due south. Path 3 is 120.0 m 30.0° south of west. Path 4 is 190.0 m 60.0° north of west. At

  1. Advanced Math.

    Write an equation in slope-intercept form of the line whose parametric equations are x= (1/2)t + (2/3) and y= t – (3/4). t = y + 3/4 x = 1/2(y + 3/4) + 2/3 2x = y + 3/4 + 4/3 2x = y + 25/12 y = 2x - 25/12 A force F1 of 35

  2. Trigo

    Jill walks 10 miles at 40 degrees south of west. How far west of her starting point does she end up?

  3. physics

    A man walks 5km south and then 3km in the direction 60degrees west of south.His distance from the starting point is?

  4. physics

    1) A jogger runs directly east for 5 km, then turns and goes northwest for 7 km. He then travels directly south for 5 km. How far is he from the starting point? (km) 2) In what direction is he from the starting point(measured as

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