The original height of the Great Pyramid of Giza was 481 feet. The side of the pyramid rose at an angle of approximately 52° . Which of the following correctly uses the sine ratio to find the length from the bottom to the top of the pyramid to the nearest foot?
The sine ratio relates the opposite side to the hypotenuse in a right triangle. In this case, 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.
To find the length from the bottom to the top of the pyramid (hypotenuse), we can use the sine ratio:
sine(52°) = opposite/hypotenuse
sin(52°) = 481/hypotenuse
To find the length from the bottom to the top of the pyramid (hypotenuse), we can rearrange the equation:
hypotenuse = 481 / sin(52°)
Calculating this value gives us:
hypotenuse ≈ 590.08 feet
Therefore, the length from the bottom to the top of the pyramid (to the nearest foot) is approximately 590 feet.