Answer:
Option (c) is correct.
The approximate value of x in the diagram is 39.59
Step-by-step explanation:
We are given a right angled triangle we have to find the value of x,
Consider the trigonometric ratio,
[tex]\sin \theta=\frac{Perpendicular}{Hypotenuse}[/tex]
taking [tex]\theta =43^{\circ}[/tex]
Then perpendicular is the side of length 27 and hypotenuse is x ,
Substitute, we get,
[tex]\sin 43^{\circ}=\frac{27}{x}[/tex]
Solving for x , we get,
[tex]\Rightarrow x=\frac{27}{\sin 43^{\circ}}[/tex]
From the given table [tex]\sin 43^{\circ}=0.682[/tex],we get,
[tex]\Rightarrow x=\frac{27}{0.682}[/tex]
[tex]\Rightarrow x=39.589[/tex] (appox)
Thus, the approximate value of x in the diagram is 39.59
Option (c) is correct.
