Respuesta :

Answer

Find the approximate value of sin C .

To proof

By using the trignometric identity

[tex]sin\theta = \frac{Perpendicular}{Hypotenuse}[/tex]

Now as given in the diagram

[tex]sin C = \frac{AB}{BC}[/tex]

as in the diagram

AB = 5 units

BC =  13.93 units

Now put it in the identity

[tex]sinC = \frac{5}{13.93}[/tex]

solving

sinC = 0.36° (approx)

Option (D) is correct

Hence proved


boffeemadrid

Answer:

(D) 0.36

Step-by-step explanation:

Given: It is given that in ΔABC, which is right angled at A has AC=13, AB=5 and BC=13.93.

To find: The value of sinC.

Solution: It is given that in ΔABC, which is right angled at A has AC=13, AB=5 and BC=13.93. thus, using the trigonometry that is:

[tex]sinC=\frac{Perpendicular}{Hypotenuse}[/tex]

[tex]sinC=\frac{AB}{BC}[/tex]

Substituting the given values, we have

[tex]sinC=\frac{5}{13.93}[/tex]

[tex]sinC=0.36[/tex]

which is the required value.

Hence, option D is correct.

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