Question

Let angle G be an acute angle and tan G = 0.43 . Use technology to approximate the measure of angle G to the nearest 10th of a degree.

Answer 1

We need to use the calculator, using the tan⁻¹ function:

$\begin{gathered} \tan(G)=0.43 \\ \tan^{-1}(\tan(G))=\tan^{-1}(0.43) \\ G=\tan^{-1}(0.43) \end{gathered}$

Using the calculator:

$G=\tan^{-1}(0.43)=23.26770481$

To the nearest tenth:

$G=23.3º$