Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.
24
17
calculate the value for x.
answer (round to nearest degree): x =
ok

Explanation:

Step1: Identify the trig - ratio

We use tangent since $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\tan x=\frac{17}{24}$.

Step2: Calculate the angle

$x = \arctan(\frac{17}{24})$. Using a calculator, $x=\arctan(\frac{17}{24})\approx35.54^{\circ}$.

Step3: Round the result

Rounding $35.54^{\circ}$ to the nearest degree gives $35^{\circ}$.

Answer:

$x\approx35^{\circ}$