Question

in a right triangle, the hypotenuse is 33, one leg is 11, and the other leg is x. find the value of x.

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=33^\circ$, opposite side $x$, adjacent side $11$.

Step2: Rearrange to solve for $x$

$x = 11 \times \tan(33^\circ)$

Step3: Calculate the value

$\tan(33^\circ) \approx 0.6494$, so $x \approx 11 \times 0.6494$

Answer:

$x \approx 7.14$