The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the side KL is 30.81 units.
What are Trigonometric functions?
The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The measure of ∠J can be written as,
Cos(∠J) = JK/JL
Cos(∠J) = 7/31.6
∠J = 77.2°
Similarly the length of side KL can be written as,
Tan(∠J) = KL/JK
Tan(77.2°) = KL/7
KL = 30.81 units
Hence, the length of the side KL is 30.81 units.
Learn more about Trigonometric functions:
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