Answer:
Option D is correct i.e angle B is 55°
Step-by-step explanation:
Given In triangle ABC, a=7, b=10 and angle C is a right angle.
we have to find the angle B.
As given triangle is right angled triangle,
∴ we can apply the formula of trigonometric ratios to find the angle B
[tex]tanB=\frac{AC}{CB}=\frac{10}{7}[/tex]
⇒ [tex]B=tan^{-1}(\frac{10}{7})=0.96 radian=55.0079^{\circ}\sim55^{\circ}[/tex]
Hence, angle B is 55°
Option D is correct.