Mathematics · Oct / Nov 2021 · Paper 21 · Question 21
0580
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NOT TO SCALE E B C O A D 9 cm 5 cm 5 cm The diagram shows a pyramid ABCDE. The pyramid has a square horizontal base ABCD with side 5 cm. The vertex E is vertically above the centre O of the base. The height OE of the pyramid is 9 cm. Calculate the angle that EC makes with the base ABCD. [4] Question 22 is printed on the next page.
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68.6 or 68.55 to 68.56 [4]
M3 for tan[..] = 9 oe 1 2 2 5 5 + 2 1 5 5 2 + 2
or M2 for oe 2
or M1 for 52 + 52 oe or 2.52 + 2.52 oe or x2 + x2 = 52 oe
or B1 for indicating required angle
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