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A two-metre-high pole casts a 1.8-metre-long shadow. At the same time a nearby tree casts a shadow that is 27 metres in length. (a)

A two-metre-high pole casts a 1.8-metre-long shadow. At the same time a nearby tree casts a shadow that is 27 metres in length. (a) (b) Draw a diagram to represent both situations. (1 mark) Find the angle of elevation to the top of the pole. Round your answer to the nearest (2 marks) degree. (c) Use the tangent ratio to calculate the height of the tree to the nearest metre. (2 marks)

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