A pipleline must be laid to form a straight line along the shore joining the refinery (150,305) to the harbour at (215,-20). A second pipeline is to be laid underwater from an offshore drilling platform located at (210,57) to the first pipeline, at the closest point on the shore. The scale of the grid used for locating the poiints above is in kilometers.
Calculate the distance the oil will flow from the offshore platform to the refinery.
I would really appreciate it if someone can help me on this. The one thing i need to know if how to find the distance to the offshore platform. Thanks alot!
lol is there no other meanings of altitude? The height of a triangle or something? I thought u needed to find altitudes to get the circumcenter or orthocenrer or somethign like that... must of been mistaken.
How would i find the distance the the on shore pipe to the off shore pipe?
To find the total distance, simply add these two distance together:
Distance from off shore platform to the harbor + Distance from harbor to refinery.
Use the equation topsquark provided to find these individual distances, noting that the positions given for each location are of the form (x,y).
::Edit:: Ok, I reread the question and I see the problem now. The pipe from the offshore platform is not joining the onshore pipe at the harbor, but rather at the closest point along the shoreline, as both the harbor and the refinery are along the shore.
Well, the shortest distance from the offshore platform will be the line that forms a right angle when it meets the onshore pipeline. Do you know how to find that?
Ya i understand that but to find the distance to the offshore i need 2 points which i dont have. Unless i just look at the points i plotted on the graph i have no idea what the point is that connects to the mainland. And if i just used the graph i would fail, which wouldnt be good in the position im in now academicly.
Do u know what i mean how i need a new point?
Ok, I reread the question and I see the problem now. The pipe from the offshore platform is not joining the onshore pipe at the harbor, but rather at the closest point along the shoreline, as both the harbor and the refinery are along the shore.
Well, the shortest distance from the offshore platform will be the line that forms a right angle when it meets the onshore pipeline. Do you know how to find that?
Hmm, that method doesn't seem to work here.
Ok, here's a simpler way of doing it:
Notice that if the lines connect at a right angle, their slopes will be perpendicular. So, solve for the slope of the line connecting the refinery and the harbor. Once you have the slope, recall that if a slope is perpendicular that means it's slope is the negative reciprocal.
So, take the negative reciprocal of the slope that you find. Then, use the point on the line that you already have (210,57) to find the equation for that line in the form:
Then, find the equation of the line joining the refinery and the harbor.
Set the two equations equal to each other to find the x coordinate at which they meet, and then plug that into either equation to find the y coordinate.
Then, use your now point in combination with your previous point of (210,57) to find the distance between them.
Huh... i thought i was gonna find the distance from the offshre connecting to the onshore then add the distance from the refinery to the harbour?
that may of been what u just said cuz idk wat a pythagoras is (is that (x2-x2)2+ (y2-y1)2 square rooted?
lol my math typing skills are pretty bad