Answer:
x = 3.420 (to the nearest hundredth)
Step-by-step explanation:
Trig ratios:
sin(x) = O/H
cos(x) = A/H
tan(x) = O/A
where x is the angle, O = side opposite the angle, A = side adjacent to the angle, H = hypotenuse
We have been given:
angle = 20°
opposite side to angle = x
hypotenuse = 10
Therefore, we should use sin(x) = O/H
Substituting the above values into the trig ratio:
⇒ sin(20) = x/10
⇒ x = 10 sin(20)
⇒ x = 3.420 (to the nearest hundredth)
