Lost Lighthouses Found
Sunday, February 6th, 2011lost lighthouses found
Can anyone help me with this trigonometric problem?
Two Lighthouses Are Located on a north-south line. From lighthouse A, the bearing of a ship 3472 m away is 129°43'. From lighthouse B, the bearing of the ship is 39°43'. Find the distance between the lighthouses.
I really am quite lost in this problem. DD:
Basically you have 2 angles and one side. I assume your angles are True North values.
I will try to explain it. The triangle on your page should have a left side that is directly straight up and down, with one lighthouse at each extreme of the line. This line is directly on south if you drew a compass at the top lighthouse (lighthouse A), and directly on north if you drew a compass at the south lighthouse (lighthouse B). Then from lighthouse A draw a line going downwards to the right so like a diagonal with a defined length of 3472m. Similarly from lighthouse B a line travels upwards to the right until it meets the line marked 3472m. That is a triangle.
Now the angle between the north-south line and the connecting line at lighthouse B should be 39°43'. For lighthouse A, the angle is 180°-129°43' (try to envision where the angle from North to the bearing line is 129°43', so the angle from the bearing line to the north-south line is the full 180 degrees minus the top difference... I am bad at explaining this kind of thing and this is probably where you will stall).
With that said, calculate the third angle by doing the all angles add up to 180. Then do the sine rule with the 39°43' and 3472m side and the unknown length between the two lighthouses and the known third angle we just worked out.
If I had a calculator and pencils with me I would work it all out but alas I have neither with me 
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The high technology formulation of Sandtex Trade's X-treme X-posure™ - the premium smooth masonry paint system formulated for the nation's most exposed and challenging conditions - is helping a Norfolk's historic Happisburgh lighthouse maintain its distinctive colour scheme.
Eighteen months after the tower was painted using the system, Patrick Tubby chairman of the Happisburgh Lighthouse Trust, says the structure has never looked in better shape.
Sandtex Trade's highest performance masonry paint was used to create distinctive red and white bands, which give the 85 feet landmark building a distinctive look visible for miles around.
Before Sandtex Trade's X-treme X-posure was applied - despite the best efforts of the Happisburgh Lighthouse Trust which, with voluntary funding, maintains and operates the building - it had always proved difficult in the past to prevent the red bands of colour from fading because of the permanently exposed conditions, the driving rain - and the corrosive effects of the salty air.
Patrick Tubby said: "The lighthouse is still looking great eighteen months after the 2009 repaint, and we are confident it will last for years to come.
"I have been involved with Happisburgh Lighthouse in one way or another for the last twenty years, and have never known the lighthouse to be as conspicuous as it has been since the repaint - and as a working navigation aid that is very important."
Built in 1790, Happisburgh Lighthouse is situated on a particularly exposed stretch of the North Norfolk coastline, constantly battered by storms, coastal tides, rising sea levels and unpredictable weather conditions. The area is often in the media spotlight due to the severe erosion of the sandy cliffs, which has led to a number of properties being lost to the sea.
Patrick added: "In the past, the red and white bands have tended to fade to more muted pink and cream shades within a couple of years of repainting. However much we might like to keep the lighthouse looking in tip top condition at all times, we're a charitable trust with very limited funds and simply cannot afford to keep repainting as soon as the paint starts to lose its colour.
"When the time came to carry out our most recent repainting project we turned to Crown Paints for help, and on their recommendation we specified a Sandtex Trade X-treme X-posure™ coating system to provide the best possible level of protection and also the colour retention we were looking for.
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A moisture vapour permeable coating also allows walls to breathe and a highly flexible coating keeps hairline cracks covered. X-treme X-posure™ – which holds the BBA page of certification for 15 years' proven durability - undergoes extensive tests, including exposure to accelerated weathering techniques in laboratories, where it is tested against extremes of temperature, humidity and UV radiation.
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For further information on the Happisburgh Lighthouse, please click on http://www.happisburgh.org/lighthouse
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