Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.
fill in the missing information. text should be lower case.
calculate the value for x.
answer (round to nearest degree): x =

Explanation:

Step1: Recall tangent ratio

$\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. In the right - triangle, for angle $X$, the opposite side is 18 and the adjacent side is 35, so $\tan X=\frac{18}{35}$.

Step2: Find the angle

We know that $X = \arctan(\frac{18}{35})$. Using a calculator, $X=\arctan(\frac{18}{35})\approx 27.04^{\circ}$. Rounding to the nearest degree, $X\approx27^{\circ}$.

Answer:

$\tan X=\frac{18}{35}$
$X\approx27$