Northeast Lighthouses
northeast lighthouses
pls answer,trigo problem,cosine law?
a lighthouse is 10miles northeast of a dock. a ship leaves the dock at noon, and sails east at a speed of 12 miles an hour. at what time will it be 8miles from the lighthouse?
Let the position of dock be taken as the origin and the ship be sailing along x-axis. Hence coordinates of the Light House will be ( sqrt 50, sqrt 50). Now we have to find one ( or two ) point(s) on the x-axis which are at a distance of 8 miles from thre Light House ( sqrt 50, sqrt 50 ).
Let the required point be having coordinates ( a , 0 ). Now it is given that its distance from the point ( sqrt 50 , sqrt 50 ) = 8 miles (given).
=> 8 = √ [ (√50-a)^2 + (√50)^2 ]
On solving this quadratic equation we get : ----
a = 3.33 (say position ( A ) and 10.81 miles. ( say position B ) (from the dock)
Let the time taken for the ship to reach A be T1 and to B be T2. Then
T1 = 3.33 / 12 hr. = (16 min.and 39 sec) and T2 = 10.81/12 = 54 min. and 3 sec)
Hence the ship will be at a distance of 8 miles from the light house at 12:16:39 and again at 12:54 min:3sec. ………….. Answer Answer
Shipwreck Beach a Virtual Cemetery
Shipwreck Beach is located on the northeast coast, of Lanai, Hawaii. The beach extends over several miles and is facing the Kalohi Channel which is the body of water that lies between the Hawaiian Island of Lanai and Molokai. The channel itself is notorious for strong currents and is home to numerous reefs.
To get to the beach it is best to follow Highway 44 form Lanai City for about seven or so miles until there is a dirt road to the left. Take this and continue along it till you find yourself face to face with a parking facility near a ruined lighthouse. The beach is in front of the lighthouse. It is recommended that visitors try and utilize a four wheel drive to make the journey as road conditions can sometimes overwhelm standard vehicles.
Shipwreck Beach itself is composed of lava rock, sand and scattered boulders typical of the Hawaiian Islands and is a great site for beachcombing. The area is also constantly wracked by the trade winds which affect both the Kalohi and Auau Channels. These rough conditions make Shipwreck Beach a virtual cemetery for ships that have discovered the danger too late.
One wrecked ship in particular seems to catch visitors attention, a WW II Liberty Ship. Her hull still lies close to the shore and the reason it has managed to withstand the turbulent conditions is because it was one of twenty two ferrous concrete oilers that were made between 1942 and 1944. The vessel ended up where it is because it was given residence on the Lanai reef as this was seen as the most economical way of disposal at the time. The first ever dated loss was in 1824 and involved the Alderman Wood which was a British Ship. Just two years on, a ship called the London which was carrying gold and silver in her hold suffered the same fate.
Shipwreck Beach is also widely knows for is breathtaking views and eight miles of beach who's character changes from narrow sandy areas to rocky outcrops as you move along it. A hotspot for relaxing, snorkelling and hiking. The beach is the perfect spot to view Molokai. The wind factor also makes for poor diving, but on the other hand these may be just the conditions that wind surfers are looking for.
The weather at Lanais beaches are generally very dry and are on average about ten degrees warmer than the main city. Lots of sunshine and beautiful tanning opportunities are definitely on the table.
About the Author
Douglas Scott works for The Rental Car Hire Specialist. and is a free lance writer for The Shipwreck Beach Rental Site
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