Question

AB = 7 and AC = 17. Find angle B to the nearest degree.

Answer 1

OK we have a right angle A and we're interested in angle B.

Relative to B, AB=7 is the adjacent side and AC=17 is the opposite side so we have:

$\tan B = \dfrac{\textrm{opp}}{\textrm{adj}} = \dfrac{17}{7}$

$B = \arctan \frac{17}{7} \approx 67.62 ^\circ$

Answer: 68