It is given that \(\triangle ABC\cong\triangle PQR\) in that order. In the diagram, \(AB=3.4\) cm, \(BC=4.2\) cm, \(\angle A=58^\circ\) and \(\angle B=47^\circ\). Find \(x=PQ\), \(y=QR\), and \(z=\angle R\).
Containers \(A\) and \(B\) are similar, with heights \(24\) cm and \(36\) cm; container \(B\) has base diameter \(15\) cm.
Find the base diameter of \(A\).
Container \(C\) has height \(16\) cm and base radius \(4\) cm. Is it similar to \(B\)? Justify.
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Answer:(a) \(x=3.4\) cm, \(y=4.2\) cm, \(z=75^\circ\); (b)(i) \(10\) cm; (ii) no.