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:
[tex]\tan B=\dfrac{P}{B}=\dfrac{17}{7}=2.4286\\ \\B=\arctan 2.4286=67.62 \degree[/tex]
Hence, to the nearest degree the measure of ∠B=68°
