Answer:
[tex] \cos L = \dfrac{4}{5} [/tex]
Step-by-step explanation:
The right angle is angle K. KL and JK are legs. JL is the hypotenuse.
For angle L, KL is the adjacent leg.
In general, for acute angle A of a right triangle,
[tex] \cos A = \dfrac{adjacent~leg}{hypotenuse} [/tex]
In this case,
[tex] \cos L = \dfrac{adj~leg}{hyp} [/tex]
[tex] \cos L = \dfrac{KL}{JL} [/tex]
[tex] \cos L = \dfrac{8}{10} [/tex]
[tex] \cos L = \dfrac{4}{5} [/tex]
