A little help with some Murderous Maths question

wyz135 · 06-18-2008, 02:49 AM

I was stuck at a question in one of my school assignment. Here's the question: Marco anchors his boat in water that is twelve meter deep, as shown in the diagram (At the bottom). So about how long, in metres, is the part of the anchor line that is under the wate.
My first thought is that it appeared like a quater of a circle and I tried to find the area, but later I then realise it look more like a oval shape. Soon I realise I'm trying to use integral calculus(Reading a thousand page maths book with calculus) on it to find the length, it only makes me more confuse. So I know many of you here are have more education then I do so please help me, I haven't even touch on calculus yet in school. Anyway million thanks

Mike · 06-18-2008, 06:26 AM

It looks like an ellipse. Unless they give you a specific equation for the line made by the anchor, I'd go with the approximation formula for the circumference of an ellipse. Unless this is a calculus class, in which case you'll want to come up with an equation for the ellipse and use the integral method.

http://mathcentral.uregina.ca/QQ/dat.../proffit1.html

wyz135 · 06-18-2008, 12:51 PM

MILLION THANKS for the site!! I manage to work it out to a around 18m. Thanks man

06-18-2008, 02:49 AM	#1
wyz135 Senior Member Join Date: Jul 2007 Location: Singapore Posts: 613 Video Card: PowerColor Radeon HD3850 512MB GDDR3 Professional Cooling	A little help with some Murderous Maths question I was stuck at a question in one of my school assignment. Here's the question: Marco anchors his boat in water that is twelve meter deep, as shown in the diagram (At the bottom). So about how long, in metres, is the part of the anchor line that is under the wate. My first thought is that it appeared like a quater of a circle and I tried to find the area, but later I then realise it look more like a oval shape. Soon I realise I'm trying to use integral calculus(Reading a thousand page maths book with calculus) on it to find the length, it only makes me more confuse. So I know many of you here are have more education then I do so please help me, I haven't even touch on calculus yet in school. Anyway million thanks Attached Images __________________ Status: mostly inactive Gigabyte EP35-DS3P intel P35 Express Chipset CrossfireX-ready Motherboard Core2 Quad Q9400 2.66GHz (Yorkfield) cooled by CoolerMaster Hyper TX2 4GB (2X2) DDR2 RAM @ 800MHz Dual-Channel PowerColor Radeon HD3850 512MB GDDR3 Hitachi 320GB Hard Disk S-ATAII 3.0GB/s Windows Vista Ultimate x64 Razor Krait 1600DPi Gaming Mouse

06-18-2008, 12:51 PM	#3
wyz135 Senior Member Join Date: Jul 2007 Location: Singapore Posts: 613 Video Card: PowerColor Radeon HD3850 512MB GDDR3 Professional Cooling	MILLION THANKS for the site!! I manage to work it out to a around 18m. Thanks man __________________ Status: mostly inactive Gigabyte EP35-DS3P intel P35 Express Chipset CrossfireX-ready Motherboard Core2 Quad Q9400 2.66GHz (Yorkfield) cooled by CoolerMaster Hyper TX2 4GB (2X2) DDR2 RAM @ 800MHz Dual-Channel PowerColor Radeon HD3850 512MB GDDR3 Hitachi 320GB Hard Disk S-ATAII 3.0GB/s Windows Vista Ultimate x64 Razor Krait 1600DPi Gaming Mouse

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06-18-2008, 06:26 AM	#2
Mike GPUReview Founder Join Date: Jul 2005 Location: My Office Posts: 440 Video Card: EVGA 8800 GT 650/1900	It looks like an ellipse. Unless they give you a specific equation for the line made by the anchor, I'd go with the approximation formula for the circumference of an ellipse. Unless this is a calculus class, in which case you'll want to come up with an equation for the ellipse and use the integral method. http://mathcentral.uregina.ca/QQ/dat.../proffit1.html