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 $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side to the angle $x$ is $22$ and the adjacent side is $32$. So, $\tan x=\frac{22}{32}$.

Step2: Calculate the angle

$x = \arctan(\frac{22}{32})$. Using a calculator, $x=\arctan(0.6875)\approx34.5^{\circ}$.

Step3: Round the result

Rounding $34.5^{\circ}$ to the nearest degree gives $34^{\circ}$.

Answer:

$34$