ΔPQR is right-angled at Q. The length of PQ is 5 cm and ∠PRQ = 30°. Determine the length of side QR.
Answer & explanation
Correct answer: option 1
⇒ 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.