Question

Find the value of the cosine for ZA.

Answer 1

Answer:

C. $\frac{8\sqrt{89}}{89}$

Step-by-step explanation:

Cos A = Adj/Hyp

Reference angle = <A

Adjacent side = 8 ft

Hypotenuse = √(8² + 5²) = √89 (pythagorean theorem)

Thus:

$Cos (A) = \frac{8}{\sqrt{89}}$

Rationalize

$Cos (A) = \frac{8 * \sqrt{89}}{\sqrt{89} * \sqrt{89}}$

$Cos (A) = \frac{8\sqrt{89}}{89}$