Answer:
a = 5
Step-by-step explanation:
Since the triangle is right use the sine ratio to solve for a and
sin30° = [tex]\frac{1}{2}[/tex], thus
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{10}[/tex], hence
[tex]\frac{a}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2a = 10 ( divide both sides by 2 )
a = 5
