Question

In ABC ,AB = 7 and AC = 17. Find measure B to the nearest degree.

68


21


38


87

Answer 1

21 should be the right answer

Answer 2

∠B=68°

Explanation:

We are given a right angled triangle ΔABC with ∠A=90°, AB = 7 and AC = 17.

as ΔABC is a right angled triangle so we will use trignometric identity to find the measure of angle B.

with respect to ∠B we are given:

P=AC=17

and B=AB=7

hence using the tangent trignometric identity we have:

`\tan B=(P)/(B)=(17)/(7)=2.4286\\ \\B=\arctan 2.4286=67.62 \degree`

Hence, to the nearest degree the measure of ∠B=68°