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Mathematics · May / June 2020 · Paper 42 · Question 4

0580

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The question as text

S Q R 150 m NOT TO SCALE 120 m P 55° 25° 45° The diagram shows two triangles.

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  • 4(a)[3]

    65.4 or 65.36 to 65.37 [3]

    M1 for 1502 + 1202 – 2 × 150 × 120 cos 25

    A1 for 4270 or 4272 to 4273

  • 4(b)[4]

    125 or 124.7 to 124.8 [4]

    B1 for [angle S =] 80

    M2 for 150sin55 sin their 80

    or M1 for sin their 80 sin55 = oe 150 RS

  • 4(c)[3]

    10 400 or 10 410 to 10 440 nfww [3]

    M1 for 1 120 150sin25 2 × × oe

    M1 for 1 150 × × their (b) sin45 oe 2

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