Home » In( ∆ PQR, Phat{Q}P = 84^°, |Qhat{P}R |= 43^°) and |PQ| = 5cm. Find /QR/…

In( ∆ PQR, Phat{Q}P = 84^°, |Qhat{P}R |= 43^°) and |PQ| = 5cm. Find /QR/…

In( ∆ PQR, Phat{Q}P = 84^°, |Qhat{P}R |= 43^°) and |PQ| = 5cm. Find /QR/ in cm, correct to 1 decimal place.
  • A.
    3.4
  • B.
    4.3
  • C.
    5.9
  • D.
    6.2
Correct Answer: Option B
Explanation

Using the sine rule
(frac{|QR|}{sinP}=frac{|PQ|}{sinR}\
frac{x}{sin43^o}=frac{5}{sin53^o}\
x = frac{5times sin43^o}{sin53^o}\
=frac{5times 0.6820}{0.7986}\
=4.3)