4MA0 Higher January 2013 Paper 3 Q8

EdexcelHigherOld spec5 marksBasic Trigonometry

8

Right-angled triangle ABC with the right angle at B, AC = 7.9 cm and angle C = 38°

Diagram NOT accurately drawn

\(ABC\) is a triangle.
\(AC = 7.9\) cm
Angle \(B = 90^\circ\)
Angle \(C = 38^\circ\)

(a) Calculate the length of \(BC\).
Give your answer correct to 3 significant figures. (3)
(b) The size of angle \(C\) is 38°, correct to 2 significant figures.
(i) Write down the lower bound of the size of angle \(C\).
(ii) Write down the upper bound of the size of angle \(C\).
(2)