Question

solve for x.
right triangle with right angle at bottom left, vertical leg labeled x, hypotenuse labeled 10 cm, bottom right angle labeled 20°
x = ? cm
round to the nearest hundredth.

Explanation:

Step1: Identify sine ratio

$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$, where $\theta=20^\circ$, opposite side is $x$, hypotenuse $=10$

Step2: Rearrange to solve for x

$x = 10\times\sin(20^\circ)$

Step3: Calculate and round

$x =10\times0.3420201433 = 3.420201433$

Answer:

$3.42$