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 1 decimal): x = (ie 1.2 or 16.0)

Explanation:

Step1: Identify trigonometric ratio

We know $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here $\theta = 56^{\circ}$ and the opposite side to $\theta$ is $x$, the adjacent side is $11$. So $\tan56^{\circ}=\frac{x}{11}$.

Step2: Solve for $x$

We know that $\tan56^{\circ}\approx1.4826$. Then $x = 11\times\tan56^{\circ}$. Substituting the value of $\tan56^{\circ}$, we get $x=11\times1.4826 = 16.3086$. Rounding to 1 - decimal place, $x = 8.0$.

Answer:

$x = 8.0$