Trigonometry

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Trigonometry

  1. 1. MATHEMATICS ASSIGNMENT 1Group 1:Farzana Afiqah Bt Redzuan Nurhalifah Bt Md. Jais Nurul Jannah Bt Anuar Md Shafwan Bin Shafri
  2. 2. • INTRODUCTION• CREATING CLINOMETER• MEASUREMENTS• DIAGRAMS & SOLUTIONS• CONCLUSION
  3. 3. Trigonometry (from Greek trigōnon "triangle"+ metron "measure") is a branch of mathematics thatstudies triangles and the relationships between theirsides and the angles between these sides. Theobjective of this assignment is to apply the knowledgeof trigonometry in finding the height of real-lifestructures that are too tall to be measured by ruler.
  4. 4. Name Body Height (h) Angle (ϰ) Distance (d) Lifah 1.43 m 36º 3.25 mShafwan 1.54 m 19º 1.50 m Zana 1.45 m 41º 3.87 mJannah 1.53 m 35º 3.06 m
  5. 5. Lifah x To find (angle of elevation): 36º 180 90 36 h¹ 54 To find h1 (height of object): h1 ᶿ tan 54 d d = 3.25m h 1 d tan 54 h = 1.43m h 1 3.25m tan 54 h 1 4.47m Total height, hT h h 1 h T 1.43 m 4.47 m 5.9m
  6. 6. Shafwan x To find (angle of elevation): 19º 180 90 19 h¹ 71 To find h1 (height of object): ᶿ tan 71 h1 d d = 1.50m h 1 d tan 71 h = 1.54m h 1 1.50m tan 71 h 1 4.36m Total height, hT h h 1 h T 1.54 m 4.36 m 5.9m
  7. 7. Zana x To find (angle of elevation): 41º 180 90 41 49 h¹ To find h1 (height of object): tan 49 h1 ᶿ d d = 3.87m h 1 d tan 49 h = 1.45m h 1 3.87m tan 49 h 1 4.45m Total height, hT h h 1 h T 1.45 m 4.45 m 5.9m
  8. 8. Jannah x To find (angle of elevation): 35º 180 90 35 55 h¹ To find h1 (height of object): h1 ᶿ tan 55 d d = 3.06m h 1 d tan 55 h 1 3.06m tan 55 h = 1.53m h 1 4.37m Total height, hT h h 1 h T 1.53 m 4.37 m 5.9m
  9. 9. Trigonometry can be used to find the height ofobject that are too tall to measure by ruler and it canalso be used to find the angle of elevation. The value isthen applied in real life for significant use. There areseveral formulas in trigonometry to find differentvalues of different sides or angles. Trigonometry is veryuseful especially for architects to measure forrenovating a building.

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