Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.
fill in the missing information.
text should be lower case.
cos□ =
calculate the value for x.
answer (round to 1 decimal): x = (ie 1.2 or 16.0)

Explanation:

Step1: Recall cosine formula

$\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$

Step2: Identify values in triangle

In the right - triangle, $\theta = 16^{\circ}$, the adjacent side to the $16^{\circ}$ angle is $x$ and the hypotenuse is $18$. So $\cos(16^{\circ})=\frac{x}{18}$.

Step3: Solve for $x$

$x = 18\times\cos(16^{\circ})$. Since $\cos(16^{\circ})\approx0.96126$, then $x = 18\times0.96126\approx17.3$.

Answer:

$x \approx 17.3$