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

A) 7 sin(40°)

B) 7 cos(40°)

C)

7

sin(40°)

D)

7

tan(40°)

Using trigonometric relationship, the length of CA can be obtained uisng the relation CA = 7 sin(40)

Using SOHCAHTOA :

The opposite and the hypotenus are related to the sine of the angle.

Hence, we have ;

Sin(40) = CA/7

Cross multiply

CA = 7 sin(40°)

Therefore, CA = 7 sin(40)

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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.

x is length of CA

So, the correct option is (A).

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: