Question

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

Sin 37° = 0.602
Cos 37° = 0.790
Tan 37° = 0.754

pls help ASAP

Answer 1

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 =(Perpendicular)/(Base)`

Using this in triangle LMN, we get

`\sin (37^\circ) =(LM)/(LN)`

`0.602=(6)/(LN)`

`0.602LN=6`

Divide both sides by 0.602.

`LN=(6)/(0.602)`

`LN=9.966777`

`LN\approx 9.97`

Therefore, the correct option is C.