How Are Lighthouses Built

how are lighthouses built

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General Physics help?

1. ) A bug is observed to travel 46 cm in 2.4 seconds. What is the bug's speed in miles per hour?

2. ) A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge the bearing to the lighthouse is 63 degrees (12 km is the length of the side adjacent to the 63 degree bearing). How far is the lobster boat from the light house?

3. ) A recent land survey was conducted on a vacant lot where a commercial building is to be erected. The plans for the future building construction call for a building having a roof supported by two sets of beams. The beams in the front are 8 feet high and the back beams are 6.5 feet high. The distance between the front and back beams is 8 feet. At what angle will the roof lay on the front beam?

1. ) A bug is observed to travel 46 cm in 2.4 seconds. What is the bug's speed in miles per hour?

46 cm * 6.21371192 × 10^-6 cm / 1 mi = 0.0002858 mi
2.4 sec * 1 hr / 3600 sec = 0.0006667 hr

0.0002858 mi / 0.0006667 hr = .43 mi/hr

2. ) A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge the bearing to the lighthouse is 63 degrees (12 km is the length of the side adjacent to the 63 degree bearing). How far is the lobster boat from the light house?

This is represented by a right triangle. Let a = 63 degrees. tan a = opposite/adjacent.
tan 63 = x/12
x = (tan 63)/12 = 23 km

3. ) A recent land survey was conducted on a vacant lot where a commercial building is to be erected. The plans for the future building construction call for a building having a roof supported by two sets of beams. The beams in the front are 8 feet high and the back beams are 6.5 feet high. The distance between the front and back beams is 8 feet. At what angle will the roof lay on the front beam?

Set it up as a triangle. The adjacent side is 8 feet, and the opposite side is 1.5 feet (the difference in the beams.

tan a = 1.5/8 = 3/16
a = 10.6 degrees

The Path Between the Seas: The Creation of the Panama Canal, 1870-1914 The Path Between the Seas: The Creation of the Panama Canal, 1870-1914
List Price: $20.00
Sale Price: $8.89

On December 31, 1999, after nearly a century of rule, the United States officially ceded ownership of the Panama Canal to the nation of Panama. That nation did not exist when, in the mid-19th century, Europeans first began to explore the possibilities of creating a link between the Atlantic and Pacific oceans through the narrow but mountainous isthmus; Panama was then a remote and overlooked part of Colombia...

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