To find the length from the bottom to the top of the Great Pyramid of Giza using the sine ratio, we can visualize the pyramid as a right triangle. The height of the pyramid (481 feet) is the opposite side, and the length we want to find (the hypotenuse) is the length from the bottom to the top.
Using the sine function, we have:
\[ \sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}} \]
Here, the angle is 52°, the opposite side is the height of the pyramid (481 feet), and the hypotenuse is the length from the bottom to the top of the pyramid, which we can denote as \( L \).
Thus, we can set up the equation:
\[ \sin(52°) = \frac{481}{L} \]
Rearranging this gives us:
\[ L = \frac{481}{\sin(52°)} \]
Calculating \( \sin(52°) \):
\[ \sin(52°) \approx 0.7880 \]
Now substituting this into the equation:
\[ L \approx \frac{481}{0.7880} \approx 609.5 \]
Rounding to the nearest foot gives us:
\[ L \approx 610 \text{ feet} \]
Thus, the correct answer is 610 feet.
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