Question

Find the angle measure of ∠D to the degree. D (4, 1), E (4, -2), F (-2, -2)

Answer 1

Check the picture below.

`\tan(D )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{3}} \implies \tan( D )= 2 \implies \tan^(-1)(~~\tan( D )~~) =\tan^(-1)\left( 2 \right) \\\\\\ D =\tan^(-1)\left( 2 \right)\implies D \approx 63^o`

Make sure your calculator is in Degree mode.