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Introduction into trigonometry

Introduction into trigonometry. Hipparchus Compiled a trigonometric table for solving triangles. Today we have all the values saved on computers : The calculator!. Born: 190 BC in Nicaea, Bithynia (now Turkey) Died: 120 BC in probably Rhodes, Greece. Hipparchus of Rhodes. Example

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Introduction into trigonometry

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  1. Introduction into trigonometry Hipparchus Compiled a trigonometric table for solving triangles. Today we have all the values saved on computers : The calculator! Born: 190 BC in Nicaea, Bithynia (now Turkey)Died: 120 BC in probably Rhodes, Greece Hipparchus of Rhodes

  2. Example Work out the lettered lengths for each of the following right angled triangles, giving your answers to 1 decimal place: (i) 14 cm 25° k

  3. (ii) 21 cm a 47°

  4. (iii) 63° b 18cm

  5. (iv) 21 cm 75° t

  6. (v) 9° c 5 m

  7. Example Given triangle ABC below work out the length of BC, giving your answer to 3 significant figures. C 59° A B 78 mm

  8. Example A piece of gutter pipe is 350cm long is angled at 6° to the horizontal. How much higher is the upper end of the guttering than its lower end?

  9. Example When a set of ladders of length 13m are placed against a vertical wall they make an angle of 68° with the horizontal. How far up the wall does the ladder reach?

  10. Example For the isosceles triangle below, find the length of the third side, giving your answer correct to 2 decimal places. 10cm 10cm 70° 70°

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