Solve the right triangle. Round decimal answers to the nearest tenth. find KLfind MLfind angle K

To find KL, we will use the trigonometric ratio
But Before then let's find angle m
40 + 90 + K = 180 ( sum of angle in a triangle
130 +
subtract 130 from both-side of the equation
Using the trig. rattio
sin θ = opposite /hypotenuse
[tex]\sin 40=\frac{KL}{8}[/tex]cross-multiply
KL = 8 sin 40
KL ≈ 5.1
Usin trig. ratio
To find ML
[tex]\cos \theta=\frac{adjacent}{\text{hypotenuse}}[/tex][tex]\cos 40=\frac{ML}{8}[/tex]cross-multiply
ML = 8 cos 40
ML ≈6.1