Question

tofu stir fry what is the distance between the dog and the cat? directions: complete this task by following all steps on our attached checklist. created by: maria ruiz

Explanation:

Step1: Identify trigonometric ratio

We have a right triangle, with adjacent side to the 23° angle as 10 meters, and we need the hypotenuse \(x\). Use cosine:
$\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$

Step2: Substitute known values

$\cos(23^\circ) = \frac{10}{x}$

Step3: Solve for \(x\)

Rearrange to isolate \(x\):
$x = \frac{10}{\cos(23^\circ)}$
Calculate $\cos(23^\circ) \approx 0.9205$, so:
$x \approx \frac{10}{0.9205} \approx 10.86$

Answer:

Approximately 10.86 meters