Mathematics · May / June 2026 · Paper 43 · Question 7
0580
As printed in the paper
The question as text
Ó A ¢ m 25 m 22 m NOT TO SCALE The point A is on the top of a vertical building. The horizontal distance from the base of the building to Ó is 22 m. AÓ © 25 m and the height of the building is ¢ m.
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Show the answer and mark scheme
7(a)[3]
11.9 or 11.87…. [3]
Mark at most accurate.
M2 for 252 – 222 Final answer of 141 implies M2.
or M1 for 252 = 222 + h2 For responses involving multiple stages, each stage OR must be a correct method. M2 is awarded for a 1 22 correct explicit expression for h and
M1 for a −
M2 for 22 × tan cos oe correct implicit expression for h. 25 h = tan 1 22 −
or M1 for 22 cos oe 25
7(b)[2]
28.3 or 28.4 or 28.34 to 28.42.. [2]
M1 for cos = 22 Mark at most accurate. 25 oe For M1, oe trig method FT their height. Further work on the angle 28.4, e.g. 90 + 28.4, spoils the M1, award M0. − 1 22 e.g. 90 ± cos 25 Alternative methods must reach e.g. sin = for M1 to be awarded.
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