The top letter is “l” answer correctly and no guessing, !

The first thing you must do is find KL. You use a^2 + b^2 = c^2 to do that.

Then you find the various sines and cosines and Tangents of the angles involved.

Step One

Find KL

a^2 + b^2 = c^2

c = 219

b = 178

a = ??

219^2 = 178^2 + a^2

47061 = 31684 + a^2

a^2 = 48061 - 31684

a^2 = 127.97

Step Two.

Find the sines and cosines of J and L

Choice A

Sin(J) =opposite/hypotenuse =   127/219 = 0.5799

Cos(L) = adjacent/hypotenuse = 127/219 = 0.5799

Conclusion Sin(J) = Cos(L) A is not true. Neither is bigger than the other.

Choice B

Choice B does exactly what Choice A did. The Sin of L is the same thing as the cos(J).

Choice C

C can't be true.

Tan(J) = opposite / Adjacent. = 127/178

Tan(L) = opposite / Adjacent = 178/127

One is larger than 1 and the other one is less than 1. They use the same values but in a different order.

D

We discussed this for choice A. So D is the correct answer