A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

A weather ballon is on a 1200 metre length string. Its angle of inclination from the horizontal is 78deg, and its bearing from due north is 25deg. Assuming that the string is perfecly straight and does not sag at all, then find how far north and how far east of its tether point the ballon is.

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it an scalene triangle? cuz i think u need to use the pytagoras theorem to solve this one

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hello??

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    If we want to find how far north and how far east, we have to convert the 1200 meter length not on the horizontal to a length on the horizontal. I wish I could draw it, but cos(78deg)=c/1200. c=1200cos(78deg)=249.494 meters, this is the length of the directed line segment, and it represents the hypotenuse of the new triangle. This directed line segment goes into the first quadrant because the bearing is greater than 0 degrees but less than 90 degrees. The 25 degree angle is formed between the 249.494 meter line segment and the y-axis. The distance north represents the length in the y-direction, so cos(25deg) = b/249.494 --> b = 249.494cos(25deg)=226.118 meters north. The distance east represents the length in the x-direction, so sin(25deg) = a/249.494 --> a = 249.494sin(25deg) = 105.441 meters east.

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Appreciate all responses. I solved in the same way as branlegr, and checked using Pythag. It was confusing at first for me to perceive the shadow as the new hypotenuse, bit tricky. Really great site, didnt know these study sites existed. :)

  5. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.