Respuesta :

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]

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