Answer:
It is given that,
Sin 37° = 0.602
Cos 37° = 0.790
Tan 37° = 0.754
To find:
The length of side LN.
Solution:
In a right angle triangle,
[tex]\sin\theta =\dfrac{Perpendicular}{Base}[/tex]
Using this in triangle LMN, we get
[tex]\sin (37^\circ) =\dfrac{LM}{LN}[/tex]
[tex]0.602=\dfrac{6}{LN}[/tex]
[tex]0.602LN=6[/tex]
Divide both sides by 0.602.
[tex]LN=\dfrac{6}{0.602}[/tex]
[tex]LN=9.966777[/tex]
[tex]LN\approx 9.97[/tex]
Therefore, the correct option is C.
