$$Lengthof2similartriangles=4:5=\frac{4}{5}$$

and

$$Hypotenuseofsmallertriangle=24inches$$

We have to find the length of hypotenuse of larger triangle.

$$\therefore \frac{h}{24}=\frac{5}{4}$$

$$=\frac{24\times 5}{4}=30$$

So choice E is correct.