Question

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

Answer 1

21 should be the right answer

Answer 2

Answer:

∠B=68°

Step-by-step 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:

$\tan B=\dfrac{P}{B}=\dfrac{17}{7}=2.4286\\ \\B=\arctan 2.4286=67.62 \degree$

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