TRIGONOMETRY
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Worksheet #1 : Project Output in Trigonometry (Outdoor Activity) Section: MEB-14 Group Members : Guillermo, Janina Suzette Abarintos, Ervylle Encabo, Angelie Chosen Object of Study Object #1 : Aklatang Emilio Aguinaldo (AEA) Exact Location : Museo Complex Historical Background of the chosen object : DLSU-D's library. It houses collections of books, periodicals, theses, and other reference materials. It was modeled from Aguinaldo's residential house at Kawit , Cavite. The first building was a scaled-down model, and featured only the facade. Recent developments gave way for the new building, which exactly modeled from the Aguinaldo shrine, with the tower. The new building houses most of the collections and archives, and has discussion rooms, as well as the Executive Vice President's office (which will remain until the new Administration building is finished). The old building houses the Electronic Resource Services (the Internet nook), the Educational Media Services (which holds such media as videos, slides, presentations, and the like), as well as four viewing and conference rooms
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Trigonometry (from Greek trigōnon, "triangle" and metron, "measure"[1]) is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.[2]The 3rd-century astronomers first noted that the lengths of the sides of a right-angle triangle and the angles between those sides have fixed relationships: that is, if at least the length of one side and the value of one angle is known, then all other angles and lengths can be determined algorithmically. These calculations soon came to be defined as the trigonometric functions and today are pervasive in both pure and applied mathematics: fundamental methods of analysis such as the Fourier transform, for example, or the wave equation, use trigonometric functions to understand cyclical phenomena across many applications in fields as diverse as physics, mechanical and electrical engineering, music and acoustics, astronomy, ecology, and biology. Trigonometry is also the foundation of surveying.Trigonometry is most simply associated with planar right-angle triangles (each of which is a two-dimensional triangle with one angle equal to 90 degrees). The applicability to non-right-angle triangles exists, but, since any non-right-angle triangle (on a flat plane) can be bisected to create two right-angle triangles, most problems can be reduced to calculations on right-angle triangles. Thus the majority of applications relate to right-angle triangles. One exception to this is spherical trigonometry, the study of triangles on spheres, surfaces of constant positive curvature, in elliptic geometry (a fundamental part of astronomy and navigation). Trigonometry on surfaces of negative curvature is part of hyperbolic geometry.Trigonometry basics are often taught in schools, either as a separate course or as a part of a precalculus course.
Transcript of TRIGONOMETRY
Worksheet #1 : Project Output in Trigonometry (Outdoor Activity)
Section: MEB-14Group Members : Guillermo, Janina Suzette Abarintos, Ervylle Encabo, Angelie
Chosen Object of Study
Object #1 : Aklatang Emilio Aguinaldo (AEA)Exact Location : Museo ComplexHistorical Background of the chosen object :DLSU-D's library. It houses collections of books, periodicals, theses, and other reference materials. It was modeled from Aguinaldo's residential house at Kawit, Cavite. The first building was a scaled-down model, and featured only the facade. Recent developments gave way for the new building, which exactly modeled from the Aguinaldo shrine, with the tower. The new building houses most of the collections and archives, and has discussion rooms, as well as the Executive Vice President's office (which will remain until the new Administration building is finished). The old building houses the Electronic Resource Services (the Internet nook), the Educational Media Services (which holds such media as videos, slides, presentations, and the like), as well as four viewing and conference rooms
Object #2 : Statue of St. John Baptist De La SalleExact Location : Rotonda (Gate 1)
Historical Background of the chosen object :
The statue of St. John Baptist De La Salle stands tall and represents the Patron saint of teachers. Saint Jean-Baptiste de La Salle or John Baptist de La Salle (30 April 1651 7 April 1719) was a French priest, educational reformer, and founder of the Institute of the Brothers of the Christian Schools. Saint John Baptist De La Salle is an example of person that dedicated his life for the sake of the Institution and for the love of children. The statue of St. John Baptist De La Salle is built in the rotonda in honor of his marvelous deeds and for establishing De La Salle Schools.
Object #3 : Palm Tree Exact Location : Food Square Historical Background of the chosen object :
Most palms grow in the tropics. They are abundant throughout the tropics, and thrive in almost every habitat therein. Their diversity is highest in wet, lowland tropical forests, especially in ecological "hotspots" such asMadagascar, which has moreendemicpalms than all ofAfrica. Human use of palms is as old or older than human civilization itself, starting with the cultivation of the date palm byMesopotamiansand other Middle Eastern peoples 5000years or more ago. Date wood, pits for storing dates, and other remains of the date palm have been found in Mesopotamian sites
Worksheet #2 : Project Output in Trigonometry (Outdoor Activity)Measuring Angle of Elevation
Object of Study : PALM TREELocation : Food SquareDate of Observation : December 10, 2013 Time of Observation : 4pmSection: MEB-14Group Members : Guillermo, Janina Suzette Abarintos, Ervylle Encabo, Angelie
100 inches
120 inches
Solving for (Angle of elevation) 100 in. opposite side 120 Adjacent sideTan = 100 / 120Tan -1 = 100 / 120 = 39. 810 SOLUTION:(Given) Height of tree = 100 inches Shadow cast by the tree = 120 inches
CONCLUSION:Shadows casting of diff. objects depend on the intensity of light, direction of light and the height of the object. The point where the man stands is the approximation of the shadow casted by the palm tree. And to measure its angular elevation, we now use the tangent to solve for the angle because the opposite side is given through the height of the tree and the shadow created by the tree is referred as the adjacent side. ( tan = opp / adj )
