the length of the base of an isosceles triangle is 30.42 inches. each base is 26.54 degrees. find the length of the two equal sides of the triangle to the nearest hundredths.

i get 15.19. is that right?

no,

Make a diagram and draw the perpendicular to the base.
You now have a right-angled triangle, where your unknown side of the triangle is the hypotenuse.
let it be h.
cos 26.54° = 15.21/h
h = 15.21/cos 26.54°
= 17.00