Question

Calculate the length of the side LN given the following data for 37°.

Answer 1

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,

$\sin\theta =\dfrac{Perpendicular}{Base}$

Using this in triangle LMN, we get

$\sin (37^\circ) =\dfrac{LM}{LN}$

$0.602=\dfrac{6}{LN}$

$0.602LN=6$

Divide both sides by 0.602.

$LN=\dfrac{6}{0.602}$

$LN=9.966777$

$LN\approx 9.97$

Therefore, the correct option is C.