Question

determine the value of b. round your answer to the nearest tenth.
your answer

Explanation:

Step1: Identify adjacent side/hypotenuse

For the $36^\circ$ angle, side $b$ is adjacent, hypotenuse = 18. Use cosine: $\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$

Step2: Substitute values and solve for b

$b = 18 \times \cos(36^\circ)$
Calculate $\cos(36^\circ) \approx 0.8090$, so $b \approx 18 \times 0.8090$

Step3: Compute and round to nearest tenth

$b \approx 14.562$, rounded to 14.6

Answer:

14.6