4MA0 Higher June 2015 Paper 3R Q23

23

Diagram NOT accurately drawn

\(A\), \(B\) and \(C\) are points on horizontal ground.
\(B\) is due North of \(A\) and \(AB\) is 14 m.
\(C\) is due East of \(A\) and \(AC\) is 25 m.
A vertical flagpole, \(TX\), has its base at the point \(X\) on \(BC\) such that the angle \(AXC\) is a right angle.
The height of the flagpole, \(TX\), is 10 m.

Calculate the size of the angle of elevation of \(T\) from \(A\).
Give your answer correct to 1 decimal place.

(6)