To find the length from the bottom to the top of the pyramid using the sine ratio, you'd use the formula:
\[ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \]
Here, the opposite side is the height of the pyramid (481 feet), and the hypotenuse is what we're trying to find (let's call it \( L \)). The angle is given as 52°.
Thus, we can set up the equation:
\[ \sin(52°) = \frac{481}{L} \]
Rearranging this gives us:
\[ L = \frac{481}{\sin(52°)} \]
Now we can calculate:
Using a calculator, find \(\sin(52°)\):
\(\sin(52°) \approx 0.7880\)
Now substitute this value into the equation:
\[ L = \frac{481}{0.7880} \approx 609.9 \]
Rounding to the nearest foot gives us:
\[ L \approx 610 \text{ feet} \]
So the correct answer is:
610 feet.