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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

Calculate the length of the side LN given the following data for 37°. Sin 37° = 0.602 Cos-example-1

1 Answer

1 vote

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 =(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.

User George Kagan
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