4MA0 Foundation January 2017 Paper 2R Q24

24 The diagram shows the positions of two towns, \(A\) and \(B\).

Diagram NOT accurately drawn

The distance from \(A\) to \(B\) is 110 km.
\(B\) is 60 km east of \(A\).

(a) Work out the size of angle \(x\).
Give your answer correct to 1 decimal place. (3)

(b) Work out the bearing of \(B\) from \(A\).
Give your answer correct to the nearest degree. (2)

The distance from \(A\) to \(B\) is 110 km correct to 2 significant figures.

(c)

(i) Write down the lower bound for the distance from \(A\) to \(B\).

(ii) Write down the upper bound for the distance from \(A\) to \(B\).

(2)