Question

Which equation can be used to find the length of AC?

Answer 1

yep, the answer is the first option

Answer 2

`AC=10\sin40^(\circ)`

Option 1 is correct.

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.

`\sin \angle B=(Perpendicular)/(Hypotenuse)=(AC)/(AB)`

`\sin40^(\circ)=(AC)/(10)`

`AC=10\sin40^(\circ)`

Hence, option 1 is correct.