Question

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 1

The answer to this is B

Answer 2

The value of the RQ is 16 unit .

Option (B) is correct .

Explanation:

Now by using the trignometric identity

`cos \theta = (Base)/(Hypotenuse)`

Base = RQ

Hypotenuse = PQ = 8 unit

`\theta = 60^(\circ)`

`cos60^(\circ) = (RQ)/(PQ)`

`cos60^(\circ) = (RQ)/(8)`

`cos\ 60^(\circ) = (1)/(2)`

`(8)/(2)=RQ`

RQ = 4

= 4 unit

Therefore the value of the RQ is 4 unit .

Option (B) is correct .