Oml just help
What is the measure of ∠L?



Enter your answer in the box. Round only your final answer to the nearest hundredth.

m∠L=
°

Oml just help What is the measure of L Enter your answer in the box Round only your final answer to the nearest hundredth mL class=

Respuesta :

Answer:

Step-by-step explanation:

Adjacent side = 18

Hypotenuse = 60

Those two together form the Cosine.

Cos(L) = adjacent / hypotenuse

Cos(L) = 18 / 60

Cos(L) = 0.3

Now you need to use the inverse Cos Function on your calculator to get <L

<L = cos-1(0.3)

<L = 72.54

[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cosL=\dfrac{LM}{LN}[/tex]

[tex]\\ \rm\Rrightarrow cosL=\dfrac{18}{60}[/tex]

[tex]\\ \rm\Rrightarrow cosL=\dfrac{3}{10}[/tex]

[tex]\\ \rm\Rrightarrow cosL=0.3[/tex]

[tex]\\ \rm\Rrightarrow L=cos^{-1}(0.3)[/tex]

[tex]\\ \rm\Rrightarrow L=72.54°[/tex]

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