Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.
19
x
25°
calculate the value for x.
answer (round to 1 decimal): x = (ie 1.2 or 16.0)

Explanation:

Step1: Identify trigonometric ratio

We know $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here $\theta = 25^{\circ}$, opposite side is $19$ and adjacent side is $x$. So $\tan25^{\circ}=\frac{19}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{19}{\tan25^{\circ}}$. Since $\tan25^{\circ}\approx0.4663$, then $x = \frac{19}{0.4663}\approx40.7$.

Answer:

$40.7$