Answer:
B. [tex] \frac{7\sqrt{2}}{34} [/tex]
Step-by-step explanation:
Cos θ = Adjacent/hypotenuse
Adjacent = 7
Hypotenuse = √(23² + 7²) = √578 = 17√2
Thus:
Cos θ = [tex] \frac{7}{17\sqrt{2}} [/tex]
Rationalize
Cos θ = [tex] \frac{7*\sqrt{2}}{17\sqrt{2}*\sqrt{2}} [/tex]
Cos θ = [tex] \frac{7\sqrt{2}}{17*2} [/tex]
Cos θ = [tex] \frac{7\sqrt{2}}{34} [/tex]
