4400 Higher June 2010 Paper 3 Q14

EdexcelHigherOld spec7 marksUpper & Lower Bounds

14

Triangle ABC right-angled at B with AB = 20 cm, BC = 8.3 cm and angle x at A

Diagram NOT accurately drawn

Triangle \(ABC\) is right-angled at \(B\).
\(AB = 20\) cm, correct to 1 significant figure.
\(BC = 8.3\) cm, correct to 2 significant figures.

(a) Write down the lower bound for the length of
(i) \(AB\),
(ii) \(BC\). (2)
(b) Calculate the lower bound for the area of triangle \(ABC\). (2)
(c) Calculate the lower bound for the value of \(\tan x^\circ\). (3)
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