Question

find the measure of side b.
(1 point)
176
114
136
105

Explanation:

Step1: Identify cosine relationship

For $\angle A$, $\cos(A) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{b}{c}$

Step2: Rearrange to solve for b

$b = c \cdot \cos(A)$

Step3: Substitute given values

$b = 210 \cdot \cos(33^\circ)$
Calculate $\cos(33^\circ) \approx 0.8387$, so:
$b \approx 210 \times 0.8387 \approx 176.13$

Answer:

176