Mathematics · Oct / Nov 2025 · Paper 41 · Question 27
0580
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0580/41/O/N/25 © UCLES 2025 [Turn over 27 NOT TO SCALE G ī Ĕ C Ĭ A Ñ Đ 5 cm 7 cm 10 cm 15 cm The diagram shows a prism of length 15 cm. The cross-section of the prism is a trapezium. Angle ĬAÑ ¤ 90° and angle AĬC ¤ 90°. AÑ ¤ 10 cm, AĬ ¤ 5 cm and ĬC ¤ 7 cm. Calculate the angle the diagonal AG makes with the base AÑĐĔ. [4]
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16.8 or 16.80 to 16.81 [4]
M3 for 5 = tan oe or 2 + 2 15 7 5 = sin oe or 15 2 + 7 2 + 5 2 2 + 2 15 7 = cos oe 2 + 2 + 2 15 7 5
or M2 for 15 2 + 7 2 or 15 2 + 7 2 + 5 2
or M1 for indication of correct angle
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