In the diagram, QRT is a straight line. If angle PTR = 90&de...
In the diagram, QRT is a straight line. If angle PTR = 90°, angle PRT = 60°, angle PQR = 30° and |PQ| = 6√3cm, calculate |RT|
A.
0.3cm
B.
√32cm
C.
3cm
D.
3√3cm
Correct answer is C
In Δ QPT,
\frac{PT}{6\sqrt{3}} = \sin 30°
PT = 6\sqrt{3} \times \frac{1}{2} = 3\sqrt{3} cm
In \Delta RPT,
\frac{PT}{RT} = \tan 60°
\frac{3\sqrt{3}}{RT} = \tan 60°
RT = \frac{3\sqrt{3}}{\sqrt{3}} = 3 cm
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