Goat tethered to post with rope blocked by fence

  • Thread starter Thread starter ku1005
  • Start date Start date
  • Tags Tags
    Circle
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
Sign up Log in
2 replies · 3K views
ku1005
Messages
66
Reaction score
0
A goat is tethered to a post by a rope that is ten meters long. The goat is able to graze over any area that the rope allows it to reach other than that excluded by a straight fence. The perpendicular distance from the post to the fence is 6m. Over wat area can the goat graze- to the nearest meter...ans = 269m^2

If any1 could help me determine the required angle ...that would be awesome...since the Q is straigforward after that! thanks
 
Physics news on Phys.org

Discussion

ku1005 said:
A goat is tethered to a post by a rope that is ten meters long. The goat is able to graze over any area that the rope allows it to reach other than that excluded by a straight fence. The perpendicular distance from the post to the fence is 6m. Over wat area can the goat graze- to the nearest meter...ans = 269m^2

If any1 could help me determine the required angle ...that would be awesome...since the Q is straigforward after that! thanks
Draw a picture! You should see two right triangles where the hypotenuse is the 10 m rope and one leg is the 6 m perpendicular distance. The angle those make is one right triangle is obviously
[tex]cos^{-1}(\frac{6}{10})[/tex]
The total angle is twice that.
 
thanks very much...but it was really stupid wat i was actually doin...i wasn;t including the rest of the circle!i only included the sector which i was caclulating with the angle u define above...but since the answer i got was wrong iassumed the angle was wrong...cheers anyway!