4MA0 Higher January 2013 Paper 3 Q21

21 The diagram shows a pyramid with a horizontal rectangular base \(PQRS\).
\(PQ = 16\) cm.
\(QR = 10\) cm.
\(M\) is the midpoint of the line \(PR\).
The vertex, \(T\), is vertically above \(M\).
\(MT = 15\)cm.

Diagram NOT accurately drawn

Calculate the size of the angle between \(TP\) and the base \(PQRS\).
Give your answer correct to 1 decimal place.

(4)