To solve, you have to use the Cosine of 41°. This is Adjacent side over Hypotenuse. Plug in the known side length and solve for x
Tan 41° = x / 55
x = Tan 41° · 55
x = 47.81 units
This would make the correct answer C. 47.81.
Hope this helps. Good luck! :)

Do the multiplication both sides,

Arrange the terms to LHS according to their variables,

Factorise this polynomial

So what we notice here is when you're multiplying two numbers you're getting 0 as answer.
So one of them must be 0.
If (x-1) is 0
then x = 1
similarly,
x-6=0
then, x= 6.
So the possible values of x are 1 and 6.
Answer:
I think it goes in this order
<LNO<NLM <OLN