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: Identify the cosine formula

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

Step2: Determine the angle and sides

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

Step3: Solve for $x$

$x=\frac{18}{\cos(16^{\circ})}$
Since $\cos(16^{\circ})\approx0.96126$, then $x=\frac{18}{0.96126}\approx18.7$ (rounded to 1 decimal place)

Answer:

18.5