Answer:
[tex]AC=10\sin40^{\circ}[/tex]
Option 1 is correct.
Step-by-step explanation:
Given the right angled triangle ABC in which right angle is at C
we have to find the length of AC
Hypotenuse=AB=10 in
Base=BC=a
Perpendicular=AC=b
we have to find the equation which can be used to find the length of AC.
Here AC is perpendicular and hypotenuse is known therefore we use sine ratio.
[tex]\sin \angle B=\frac{Perpendicular}{Hypotenuse}=\frac{AC}{AB}[/tex]
[tex]\sin40^{\circ}=\frac{AC}{10}[/tex]
[tex]AC=10\sin40^{\circ}[/tex]
Hence, option 1 is correct.
