smariebueno32 smariebueno32
  • 08-01-2018
  • Mathematics
contestada

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

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 class=

Respuesta :

Аноним Аноним
  • 08-01-2018
The answer to this is B
Answer Link
JackelineCasarez JackelineCasarez
  • 28-02-2019

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 .

Answer Link

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