Triangle PQR is a right triangle. If PQ = 8 , what is RQ?
A. 4 sq root of 3
B. 4
C. 16
D. 8 sq root of 3

Answer:
The value of the RQ is 16 unit .
Option (B) is correct .
Step-by-step explanation:
Now by using the trignometric identity
[tex]cos \theta = \frac{Base}{Hypotenuse}[/tex]
Base = RQ
Hypotenuse = PQ = 8 unit
[tex]\theta = 60^{\circ}[/tex]
[tex]cos60^{\circ} = \frac{RQ}{PQ}[/tex]
[tex]cos60^{\circ} = \frac{RQ}{8}[/tex]
[tex]cos\ 60^{\circ} = \frac{1}{2}[/tex]
[tex]\frac{8}{2}=RQ[/tex]
RQ = 4
= 4 unit
Therefore the value of the RQ is 4 unit .
Option (B) is correct .