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Published byAmberlynn Perkins Modified over 9 years ago
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Introduction into trigonometry Born: 190 BC in Nicaea, Bithynia (now Turkey) Died: 120 BC in probably Rhodes, Greece Hipparchus of Rhodes Hipparchus Compiled a trigonometric table for solving triangles. Today we have all the values saved on computers : The calculator!
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Example Work out the lettered lengths for each of the following right angled triangles, giving your answers to 1 decimal place: (i) 25° 14 cm k
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47° 21 cm a (ii)
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63° 18 cm b (iii)
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75°21 cm t (iv)
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9° 5 m c (v)
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Example Given triangle ABC below work out the length of BC, giving your answer to 3 significant figures. AB C 78 mm 59°
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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?
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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?
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10cm 70° Example For the isosceles triangle below, find the length of the third side, giving your answer correct to 2 decimal places.
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