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? (1 point)
296 feet
610 feet
379 feet
781 feet
The correct answer is 379 feet.
We can use the sine ratio:
sin(angle) = opposite/hypotenuse
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 that we want to find.
sin(52°) = 481/hypotenuse
To solve for the hypotenuse, we can rearrange the equation:
hypotenuse = 481 / sin(52°)
Using a calculator, sin(52°) is approximately 0.7880.
hypotenuse = 481 / 0.7880 ≈ 610 feet
Therefore, the correct answer is 610 feet.