The diagram shows a section of a suspension bridge carrying a road over water. The height of
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The diagram shows a section of a suspension bridge carrying a road over water.
The height of the cables above water level in metres can be modelled by the function h(x) = 0.000 12x2 + 200, where x is the displacement in metres from the centre of the bridge.
a. Interpret the meaning of the constant term 200 in the model.
b. Use the model to find the two values of x at which the height is 346 m.
c. Given that the towers at each end are 346 m tall, use your answer to part b to calculate the length of the bridge to the nearest metre.
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a The constant term 200 in the model represents the minimum height of the cables above water leve...View the full answer
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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