Question

For the right triangle shown, which expression represents the length of CA?

Answer 1

Step-by-step explanation:

The attached figure shows a right angled triangle right angle at C. It is required to find the length of CA.

Here, CA = x = perpendicular

BC = base

AB = hypotenuse =7

Angle B is 40 degrees

We know that the ratio of perpendicular to the hypotenuse is equal to sine of angle.

$\sin\theta=\dfrac{P}{H}\\\\\sin(40)=\dfrac{x}{7}$

x is length of CA

$x=7\sin(40)$

So, the correct option is (A).