Answer:
x ≅ 36.25
Step-by-step explanation:
Since this is an isosceles triangle, the altitude bisects the side of length 30.
Therefore, we have a right triangle with legs of 33 and 15 and we are looking for the hypotenuse (x).
So [tex]15^{2} + 33^{2} = x^{2} \\225 + 1089 = x^{2} \\1314 = x^{2} \\x = \sqrt{1314} \\= 36.25\\[/tex] to the nearest hundredth.
