Question

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

Answer 1

Answer:

$AC=10\sin40^{\circ}$

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.

$\sin \angle B=\frac{Perpendicular}{Hypotenuse}=\frac{AC}{AB}$

$\sin40^{\circ}=\frac{AC}{10}$

$AC=10\sin40^{\circ}$

Hence, option 1 is correct.

Answer 2

yep, the answer is the first option