Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.
calculate the value for x.
answer (round to nearest degree): x = □

Explanation:

Step1: Identify the trigonometric ratio

We use the tangent ratio. $\tan(x)=\frac{opposite}{adjacent}$. Here, the opposite side to angle $x$ is 15 and the adjacent side is 43. So $\tan(x)=\frac{15}{43}$.

Step2: Solve for $x$

$x = \arctan(\frac{15}{43})$. Using a calculator, $x=\arctan(\frac{15}{43})\approx18.99^{\circ}$.

Step3: Round the result

Rounding $18.99^{\circ}$ to the nearest degree gives $x\approx19^{\circ}$.

Answer:

$x\approx19$