Question

Find AC
What Is The Equation To AC?

Answer 1

Given:

Given that ABC is a right triangle.

The length of AB is 7 units.

The measure of ∠A is 65°

We need to determine the length of AC

Length of AC:

The length of AC can be determined using the trigonometric ratio.

Thus, we have;

$cos \ \theta=\frac{adj}{hyp}$

Where the value of $\theta$ is 65° and the side adjacent to the angle is AC and the side hypotenuse to the angle is AB.

Substituting the values, we have;

$cos \ 65^{\circ}=\frac{AC}{AB}$

Substituting AB = 7, we have;

$cos \ 65^{\circ}=\frac{AC}{7}$

Multiplying both sides by 7, we get;

$cos \ 65^{\circ} \times 7=AC$

  $0.423 \times 7=AC$

        $2.961=AC$

Rounding off to the nearest hundredth, we get;

$2.96=AC$

Thus, the length of AC is 2.96 units.