Question

4)
in a right triangle, one acute angle is 44°, the adjacent side to this angle is 18, find the length of the hypotenuse marked as x

Explanation:

Step1: Identify adjacent side, angle

We know the adjacent side to the $44^\circ$ angle is 18, and $x$ is the hypotenuse.

Step2: Use cosine ratio

Cosine of an angle is $\frac{\text{adjacent}}{\text{hypotenuse}}$.
$\cos(44^\circ) = \frac{18}{x}$

Step3: Solve for x

Rearrange to isolate $x$: $x = \frac{18}{\cos(44^\circ)}$
Calculate $\cos(44^\circ) \approx 0.7193$, so $x \approx \frac{18}{0.7193} \approx 25.0$

Answer:

$x \approx 25.0$