physics

posted by .

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 an angle counterwise from the east axis, units are deg)? (Northwest is the direction lying exactly half way between north and west.)

  • physics -

    1. Northwest = (90+180)/2 = 135 deg.

    X = hor = 5km + 7cos135 = 0.05km.

    Y = ver = -5km + 7sin135 = -0.05km.

    d = sqrt((0.05)^2 + (0.05))^2 = 0.71km.
    = distance from starting point.

    2. tanAr = Y/X = -0.05 / 0.05 = -1,
    Ar = -77.58 deg. = Reference angle.
    A = 180 + (-77.58) = 102.4 deg. = Direction.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1490 m due east and then turns due north and travels another 1430 m before reaching the campground. The second …
  2. Math

    Solve the problem. Round to the nearest tenth, if necessary. A long-distance runner runs 5 miles directly south and then faces due east and runs another 7 miles. How far is the runner, in a straight line, from his starting point?
  3. physics

    Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1500 m due east and then turns due north and travels another 1430 m before reaching the campground. The second …
  4. PHYSICS-HELP!!

    Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1500 m due east and then turns due north and travels another 1430 m before reaching the campground. The second …
  5. Physics

    A current of a river flows steadily from west to east at 1.00 m/s. A boat in the river travels at 3.00 m/s relative to the water. The river is 20.0 m wide with parallel banks. The boat leaves the shore at point A, and point B is directly …
  6. Math

    We are studying pythagorean Theorem. How do I set this up to solve?
  7. physics

    Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1040 m due east and then turns due north and travels another 1540 m before reaching the campground. The second …
  8. physics

    Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1120 m due east and then turns due north and travels another 1550 m before reaching the campground. The second …
  9. Math

    A ship travels N27°E for 110 mi.How far directly north/south and how far directly east/west is the ship from starting point?
  10. math

    a boy travels 15 km due north,then goes 9 km due east,then 3km due south.how far is he from his starting point find the distance the boat would have traveled if it had gone directly from point p to point t

More Similar Questions