If segment FD = 45 units and segment DE = 60 units. What is the value of angle a?

asked Feb 20, 2023 155k views

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4 votes

Using the Cosine of angles

$cos\theta=(Adjacent)/(Hypotenuse)$

Given

$\begin{gathered} \theta=a \\ Adjacent=45 \\ Hypotenuse=60 \end{gathered}$

Therefore,

$\begin{gathered} cosa=(45)/(60) \\ a=\cos^(-1)((45)/(60))=41.40962210927\approx41.41 \end{gathered}$

Hence, a = 41.41 (Option 4).

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