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(Question 2 continued) A second clock is illustrated in the diagram below. The clock face has radius 10cin with minute and hour hands both of

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(Question 2 continued) A second clock is illustrated in the diagram below. The clock face has radius 10cin with minute and hour hands both of length 10cm. The time shown is 6:00am. The bottom of the clock face is located 3 cm above a horizontal bookshelf. diagram not to scale 10 minute 2 hand 8 hour hand Bookshelf 13 em (1) Write down the height of the endpoint of the minute hand above the bookshelf at 6:00 am. The height, h centimetres, of the endpoint of the minute hand above the bookshelf is modelled by the function (0) - 10 cos6 + 13, 020. where o is the angle rotated by the minute hand from 6:00 am (g) Find the value of h when = 160' The height, g centimetres, of the endpoint of the hour hand above the bookshelf is modelled by the function 8(6) --10cos (+ 13. 820. where 8 is the angle in degrees rotated by the minute hand from 6:00 am. (h) Write down the amplitude of step The endpoints of the minute hand and hour hand meet when 0 = A () Find the smallest possible value of k

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