Given:
The figure.
To find:
The value of a.
Solution:
We know that, in a right angled triangle
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan (38^\circ) =\dfrac{6}{a}[/tex]
Multiply both sides by a.
[tex]\tan (38^\circ)\times a=6[/tex]
Divide both sides by [tex]\tan (38^\circ)[/tex]
[tex]a =\dfrac{6}{\tan (38^\circ)}[/tex]
The value of a is [tex]\dfrac{6}{\tan (38^\circ)}[/tex].
Therefore, the correct option is b.
