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Instructions: Find the measure of the indicated angle to thenearest degree.

Instructions: Find the measure of the indicated angle to thenearest degree.-example-1
User Shotor
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1 Answer

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Given:

• Length of side adjacent the indicated angle = 48

,

• Length of hypotenuse = 56

Let's find the measure of the indicated angle.

To find the measure of the indicated angle, apply the trigonometric ratio formula for cosine:


cos\theta=\frac{adjacent}{\text{ hypotenuse}}

Thus, we have:


\begin{gathered} cos\theta=(48)/(56) \\ \\ cos\theta=(6)/(7) \\ \\ \text{ Take the inverse cosine of both sides:} \\ \theta=cos^(-1)((6)/(7)) \\ \\ \theta=31^o \end{gathered}

Therefore, the measure of the indicated angle is 31 degrees.

ANSWER

User Renne
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