Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles of a right triangle.
calculate the value for x.
answer (round to 1 decimal): x =
(ie 1.2 or 16.0)

Explanation:

Step1: Identify the trigonometric ratio

We know $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here $\theta = 46^{\circ}$, adjacent side to $46^{\circ}$ is $15$ and hypotenuse is $x$. So $\cos46^{\circ}=\frac{15}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{15}{\cos46^{\circ}}$. Since $\cos46^{\circ}\approx0.6947$, then $x = \frac{15}{0.6947}\approx22.1$.

Answer:

$22.1$