2 years ago

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

Mathematics

1 answer:

jolli1 [7]2 years ago

8 0

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

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