use a calculator to find $m\\angle b$ to the nearest tenth.

Explanation:

Step1: Identify the trigonometric ratio for angle B

$$\tan(B) = \frac{\text{opposite}}{\text{adjacent}}$$

Step2: Substitute the given side lengths into the formula

$$\tan(B) = \frac{14}{8}$$

Step3: Solve for the angle using the inverse tangent

$$m\angle{B} = \arctan\left(\frac{14}{8}\right)$$

Step4: Calculate the value and round to the nearest tenth

$$m\angle{B} \approx 60.255^{\circ}$$

Answer:

60.3°