To find the length from the bottom to the top of the pyramid using the sine ratio, we can use the definition of sine:
\[ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \]
In this case:
- The angle \(\theta\) is 52°,
- The height of the pyramid (which is the opposite side of the triangle) is 481 feet,
- The hypotenuse is the length we're trying to find.
Rearranging the sine ratio to solve for the hypotenuse (let's call it \(h\)) gives us:
\[ h = \frac{\text{opposite}}{\sin(\theta)} = \frac{481}{\sin(52°)} \]
Now, using a calculator to find \(\sin(52°)\):
\(\sin(52°) \approx 0.7880\)
Now plug this value into the equation:
\[ h \approx \frac{481}{0.7880} \approx 609.4 \]
Rounding to the nearest foot:
\[ h \approx 610 \text{ feet} \]
Thus, the correct answer is 610 feet.