right triangle trigonometry - sohcahtoa\nright triangle trigonometry relates the sides of a right triangle…
right triangle trigonometry - sohcahtoa\nright triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.\ncalculate the value for x.\nanswer (round to 1 decimal): x = (ie 1.2 or 16.0)
Answer
Answer:
$x\approx25.2$
Explanation:
Step1: Identify the trigonometric ratio
We know $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here $\theta = 37^{\circ}$, opposite side to $\theta$ is 19 and adjacent side is $x$. So $\tan37^{\circ}=\frac{19}{x}$.
Step2: Solve for $x$
We know that $\tan37^{\circ}\approx0.7536$. Then $x=\frac{19}{\tan37^{\circ}}$. Substituting the value of $\tan37^{\circ}$, we get $x=\frac{19}{0.7536}\approx25.2$.