Question

right triangle trigonometry - so hca htoa
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 1 decimal): x = (ie 1.2 or 16.0)

Explanation:

Step1: Identify the trig - ratio

We know that $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 21^{\circ}$, the adjacent side to the $21^{\circ}$ angle is $13$ and the hypotenuse is $x$. So, $\cos(21^{\circ})=\frac{13}{x}$.

Step2: Solve for $x$

We can re - arrange the equation $\cos(21^{\circ})=\frac{13}{x}$ to get $x=\frac{13}{\cos(21^{\circ})}$. Since $\cos(21^{\circ})\approx0.9336$, then $x=\frac{13}{0.9336}\approx36.1$.

Answer:

$36.1$