Mathematics and Mathematical Literacy - Thutong
Mathematics and Mathematical Literacy - Thutong
Mathematics and Mathematical Literacy - Thutong
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<strong>Mathematics</strong>(NSC)/Grade 11/ P2 24 ExemplarQUESTION 7You go down to the beach for a few days. As an experiment you place a metre stick in thes<strong>and</strong> to measure the height of the water. As the tide comes in, the height rises <strong>and</strong> thenfalls as the tide goes out. You record the heights for 48 hours – the height fluctuatesbetween 0 cm <strong>and</strong> 50 cm. This is shown in the graph below:50y(5;50) (25;50) (45;50)(48;a)25x5 10 15 20 25 30 35 40 45 50The equation for the height of the water is: y = 25 sin18x+ 25 where y is the height of thewater <strong>and</strong> x is the time in hours from the beginning of the experiment.7.1 Calculate the height of the water when x = 48. (1)7.2 Calculate the times when the height of the water is 10 cm by solving the equation25 sin18x + 25 = 10 for the 48 hour interval rounded off to the nearest hour.(6)[7]Copyright reserved