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Question 12 of 17 in Shape and Space 3

Shape and Space 3

3 marks · Normal

At a certain time of day, the shadow of a vertical post measures 4.2 m. The angle of elevation of the Sun is 68°.

Calculate the height of the post. Give your answer correct to 2 decimal places.

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10.43 m (±0.04)

Common mistakes: Using the shadow as the hypotenuse; Using sine/cosine

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Marking points

M1 · 1 mark · Identifies correct formula: h = 4.2 × tan(68°)

A1 · 1 mark · Accurate calculation using calculator

A2 · 1 mark · Final answer correct to 2 d.p.: 10.43 m

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