Question

what is the approximate value of \\(\tan b\\)?

a. 0.40
b. 0.44
c. 0.92
d. 2.29

Explanation:

Step1: Recall tangent definition

For angle $B$, $\tan B = \frac{\text{opposite side}}{\text{adjacent side}}$

Step2: Identify sides for $\angle B$

Opposite side to $\angle B$ is $AC=7$, adjacent side is $AB=16$

Step3: Calculate $\tan B$

$\tan B = \frac{7}{16} = 0.4375$

Step4: Approximate the value

Round $0.4375$ to two decimal places: $0.44$

Answer:

B. 0.44