Shape and Space 4
2 marks · NormalA road rises from a point A to a point B at a constant angle of 6° above the horizontal. The horizontal distance from A to B is 120 m. Calculate the vertical height gained between A and B.
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12.6 m (±0.1)
Common mistakes: Using tan instead of sin; Not using the angle with respect to the horizontal
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Marking points
M1 · 1 mark · Sets up correct ratio for vertical height: or uses sine if triangle schematic is clear
A1 · 1 mark · Correct answer obtained and rounded to 3 s.f. (follow-through)
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