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Solve for the missing angle. Round to the nearest hundredth.18?13? =degrees

Solve for the missing angle. Round to the nearest hundredth.18?13? =degrees-example-1
User Tnw
by
5.9k points

1 Answer

5 votes

Answer:

43.76 degrees.

Step-by-step explanation:

The trigonometric function cosine relates the adjacent side with the hypotenuse. Therefore, we can find the missing angle using the following equation:


\text{cos}\theta=(Adjacent)/(Hypotenuse)

So, replacing the values, we get:


\cos \theta=(13)/(18)=0.7222

Therefore, the missing angle is:


\begin{gathered} \theta=\cos ^(-1)((13)/(18)) \\ \theta=43.76 \end{gathered}

Then, the missing angle has a measure of 43.76 degrees.

User Brad Fletcher
by
6.8k points
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