Answer:
[tex]\dfrac{5\sqrt{74}}{74}[/tex]
Step-by-step explanation:
In a right triangle, the cosine of an angle is equivalent to the adjacent side divided by the hypotenuse. Using the Pythagorean Thoerem, you can find that the length of the hypotenuse is:
[tex]\sqrt{5^2+7^2}=\sqrt{25+49}=\sqrt{74}[/tex]
This means that the cosine of U is [tex]\dfrac{5}{\sqrt{74}}=\dfrac{5\sqrt{74}}{74}[/tex].
Hope this helps!
