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: Identify trigonometric ratio

We use tangent since $\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$, so $\tan(x)=\frac{28}{47}$, then $x = \arctan(\frac{28}{47})$.

Step2: Calculate value of x

Using a calculator, $x=\arctan(\frac{28}{47})\approx30^{\circ}$ (rounded to nearest degree).

Answer:

$x=\arctan(\frac{28}{47})$
$x\approx30^{\circ}$