Mathematics · Oct / Nov 2023 · Paper 42 · Question 6
0580
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NOT TO SCALE w° (2t + 3) cm 5 cm t cm The diagram shows a right-angled triangle. Find the value of w. w = [7]
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11.9 or 11.91 to 11.92 [7]
B5 for t = 1.055 or 1.0550... = their t
M1 for tan w oe 5 OR
M1 for ( ) + 2 = 2 + 2 2 t 3 t 5 oe seen isw [ ] + − =
M2 for 3 t 2 12 t 16 0 oe seen isw 2 + + +
or B1 for 4 t 6 t 6 t 9 − ± 2 − − 12 12 4(3)( 16) M1FT for oe 2(3) = their t
M1 for tan w oe 5
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