Answer:
[tex]\frac{ 25\sqrt{6} - 25 \sqrt{2} }{4} \: or \: 6.4705[/tex]
Step-by-step explanation:
[tex]25 \cos(75) = 25 \times \frac{ \sqrt{6} - \sqrt{2} }{4} \\ = \frac{ 25\sqrt{6} - 25 \sqrt{2} }{4} \: or \: 6.4705[/tex]