Answer:
C. [tex] \frac{8\sqrt{89}}{89} [/tex]
Step-by-step explanation:
Cos A = Adj/Hyp
Reference angle = <A
Adjacent side = 8 ft
Hypotenuse = √(8² + 5²) = √89 (pythagorean theorem)
Thus:
[tex] Cos (A) = \frac{8}{\sqrt{89}} [/tex]
Rationalize
[tex] Cos (A) = \frac{8 * \sqrt{89}}{\sqrt{89} * \sqrt{89}} [/tex]
[tex] Cos (A) = \frac{8\sqrt{89}}{89} [/tex]
