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 trig - ratio

We know that $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. In the right - triangle, the opposite side to the 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, $\arctan(\frac{15}{43})\approx18.99^{\circ}$. Rounding to the nearest degree, $x\approx19^{\circ}$.

Answer:

$x\approx19^{\circ}$