Question

unit exam - right triangles and trigonometry
find the sine of x.
$\sin(x^\circ) = \frac{?}{}$
simplify completely.
remember: soh-cah-toa

Explanation:

Step1: Recall sine definition (SOH)

$\sin(x^\circ) = \frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Identify opposite side to $x$

Opposite side length = 16

Step3: Identify hypotenuse length

Hypotenuse length = 20

Step4: Substitute and simplify fraction

$\sin(x^\circ) = \frac{16}{20} = \frac{4}{5}$

Answer:

$\frac{4}{5}$