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.
tanx = \frac{square}{square}
calculate the value for x.
answer (round to nearest degree): x = square

Explanation:

Step1: Recall tangent ratio

In right - triangle trigonometry, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For angle $X$, the opposite side has length $18$ and the adjacent side has length $35$. So, $\tan X=\frac{18}{35}$.

Step2: Find the angle

We know that if $\tan X = \frac{18}{35}$, then $X=\arctan(\frac{18}{35})$. Using a calculator, $X=\arctan(\frac{18}{35})\approx 27^{\circ}$ (rounded to the nearest degree).

Answer:

$\tan X=\frac{18}{35}$
$X = 27$