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 - function

We know the adjacent side ($a = 14$) and the hypotenuse ($c = 40$) of the right - triangle. We use the cosine function $\cos(x)=\frac{a}{c}$.

Step2: Substitute the values

$\cos(x)=\frac{14}{40}=0.35$.

Step3: Find the angle

$x=\cos^{- 1}(0.35)$. Using a calculator, $x\approx74.53^{\circ}$. Rounding to the nearest degree, $x\approx74^{\circ}$.

Answer:

$x\approx 74^{\circ}$