Question

∠b =
round your answer to the nearest hundredth.
a
4
c 3 b
show calculator

Explanation:

Step1: Identify the trigonometric ratio

We know that in right - triangle \(ABC\) with right - angle at \(C\), \(\tan B=\frac{AC}{BC}\). Here, \(AC = 4\) and \(BC=3\), so \(\tan B=\frac{4}{3}\).

Step2: Find the angle

We use the inverse - tangent function. \(B=\arctan(\frac{4}{3})\). Using a calculator, \(B=\arctan(\frac{4}{3})\approx53.13^{\circ}\).

Answer:

\(53.13\)