Trigonometric Functions -
[tex] \cos = \frac{adjacent}{hypotenuse} [/tex]
Find the opposite side, first of all.
Pythagorean Theorem -
[tex]a^{2} + b^{2} = c^{2} [/tex]
Input the hypotenuse and opposite sides to find b^2.
[tex]49 + {b}^{2} = 64[/tex]
Minus 49 from equations to get b^2 by itself.
[tex] {b}^{2} = 15[/tex]
Square root b^2 and 15 to get b by itself.
[tex]b = \sqrt{15} [/tex]
Now we can get to the trigonometry functioms!
[tex] \frac{ \sqrt{15} }{8} [/tex]
Divide them up, then find the percentage!
48% or...
[tex] \frac{ \sqrt{15} }{8} [/tex]