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What is the measure of ∠L?

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

m∠L= °

What is the measure of ∠L? Enter your answer in the box. Round only your final answer-example-1
User Imraan
by
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1 Answer

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Answer: 72.54

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Step-by-step explanation:

We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.

This is what your steps could look like:

cos(angle) = adjacent/hypotenuse

cos(L) = LM/LN

cos(L) = 18/60

cos(L) = 0.3

L = arccos(0.3)

L = 72.542396876278 which is approximate

L = 72.54 degrees approximately

Make sure your calculator is in degree mode.

User Kelly Orr
by
6.5k points