Respuesta :

we know that

In the right triangle LJK

m∠LJK°=m∠x°

[tex]cos\ x=\frac{adjacent\ side\ angle\ x}{hypotenuse}[/tex]

in this problem

[tex]adjacent\ side\ angle\ x=JL=10\ in\\ hypotenuse=KJ=15\ in[/tex]

substitute

[tex]cos\ x=\frac{10}{15}[/tex]

therefore

the answer is the option

[tex]cos\ x=\frac{10}{15}[/tex]

The equation that can be used to find the measure of angle LJK is cos(x) = 10/15.

What is a right angle?

The image in the diagram is a right triangle. A right angle is a triangle that has an angle that measures 90 degrees. In the triangle, angle L measures 90 degrees. The hypotenuse is 15 inches.

What can be used to determine the value of x

Sin = opposite / adjacent

sin x = √(15² - 10²) / 15

sin x = 11.1 / 15

Tan = opposite / adjacent

tan x = 11.1 / 15

Cos = adjacent / hypotenuse

cos x = 10 / 15

To learn more about a triangle, please check: https://brainly.com/question/9329354