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ΔPQR is right-angled at Q. The length of PQ is 5 cm and ∠PRQ = 30°. Determine the length of side QR. |
$5\sqrt{3}$ cm $3\sqrt{3}$ cm $\frac{1}{\sqrt{3}}$ cm $\frac{5}{\sqrt{3}}$ cm |
$5\sqrt{3}$ cm |
⇒ Tan R = \(\frac{PQ}{QR}\) ⇒ Tan \({30}^\circ\) = \(\frac{5}{QR}\) ⇒ \(\frac{1}{√3}\) = \(\frac{5}{QR}\) ⇒ QR = 5√3 cm Therefore, the answer is 5√3 cm. |
