Question

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

Answer 1

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).