JK is the side perpendicular to the horizontal (JL) thus it is opposite to angle 55°. JL is the adjacent, therefore, we can use the trigonometric ratio Tangent to fins the adjacent.
Tan ∅= opposite/ adjacent
Adjacent = opposite/Tan ∅
Adjacent =26/ Tan 55°
Angle JLK and Angle KLM are also complimentary angles, meaning that they both add up to 90 degrees, therefore angle JLK = 90-55=35degrees
Now, SOHCAHTOA comes in handy to find JL. Since we know JLK and JK, this is going to be a breeze.
Since the sides we are using are opposite and adjacent to JLK, we are going to use tan.
So: tan = o/a
however, as we don't know a, we need to rearrange the equation so a is on its own
tan=o/a (times both sides by a)
tan a = o (divide both sides by tan)
a = 0/tan
Now we can solve the equation with the information given
a = 26/tan35
a = 26/0.7
So, you can put down A as your answer :D
Using the given information, we have no idea where 'J' is. For all we
know, it might not even be on the same planet as 'L' or 'K'.