Question

find the measure of the side of the right triangle whose length is designated by a lowercase letter b. round answers to the nearest whole number.

□ in (do not round until the final answer. then round to the nearest whole number.)

Explanation:

Step1: Identify adjacent side/hypotenuse

For $\angle A = 66^\circ$, side $b$ is adjacent, hypotenuse $AB = 211$ in. Use cosine:
$\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$

Step2: Substitute values and solve for $b$

$\cos(66^\circ) = \frac{b}{211}$
Rearrange to isolate $b$:
$b = 211 \times \cos(66^\circ)$

Step3: Calculate and round

First compute $\cos(66^\circ) \approx 0.4067$, then:
$b \approx 211 \times 0.4067 \approx 85.81$
Round to nearest whole number.

Answer:

86