Question

Triangle PQR is a right triangle. If PQ = 8 , what is RQ?

Answer 1

The answer to this is B

Answer 2

Answer:

The value of the RQ is 16 unit .

Option (B) is correct .

Step-by-step explanation:

Now by using the trignometric identity

$cos \theta = \frac{Base}{Hypotenuse}$

Base = RQ

Hypotenuse = PQ = 8 unit

$\theta = 60^{\circ}$

$cos60^{\circ} = \frac{RQ}{PQ}$

$cos60^{\circ} = \frac{RQ}{8}$

$cos\ 60^{\circ} = \frac{1}{2}$

$\frac{8}{2}=RQ$

RQ = 4

     = 4 unit

Therefore the value of the RQ is 4 unit .

Option (B) is correct .