Math

posted by .

a ship leaves sydney heads and travels 45 km due east. it then returns and travels 86 km due north. how far is it from its starting point?

please guys step by step.. thank you in advance.

  • Math -

    Pythagorean theorem:

    c ^ 2 = a ^ 2 + b ^ 2

    c = sqrt ( a ^ 2 + b ^ 2 )

    In this case :

    a = 45

    b = 86

    c = sqrt ( 45 ^ 2 + 86 ^ 2 )=

    sqrt ( 2025 + 7396 ) =

    sqrt ( 9421 ) = 97.062 km

  • Math -

    7i6686855

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    "A ship leaves port on a bearing of 34.0 degrees and travels 10.4 mi. The ship then turns due east and travels 4.6 mi. How far is the ship from port, and what is its bearing from port?
  2. 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
  3. math

    A man travels 4km due north,then travels 6km due east and further travels 4km due north .how far he is from the starting point.
  4. Pre-Calculus

    A sailboat in a lake travels 4 km due north and then 4 km due west. From there, the boat travels 5 km due north and 4 km due west. How far is the bboat from the starting point?
  5. Mechanics

    a ship leaves a port and travels on asteady course 40*N of due east at a steady speed of 8.kmh^-1. how far due north and due east of the port is the ship after sailing after 12 hours
  6. Geometry 1

    Ship A and Ship B leave from the same point in the ocean. Ship A travels 150 mi due west, turns 65° toward north, and then travels another 100 mi. Ship B travels 150 mi due east, turns 70° toward south, and then travels another 100 …
  7. Physics

    An ocean liner leaves New York City and travels 26.9 ° north of east for 217 km. How far east and how far north has it gone?
  8. Physics

    An ocean liner leaves New York City and travels 25.1 degrees north of east for 110km. How far east and how far north has it gone?
  9. 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
  10. Maths

    A ship sails due north 3 kilometres( Point A) and then due east 16 kilometres(Point B) the returns to its original starting point. How far does it travel from point b back to the start. ( Shortest Distance)

More Similar Questions