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?
To find the length from the bottom to the top of the pyramid, we can use the sine ratio.
The sine ratio is defined as the length of the side opposite the angle (in this case, the height of the pyramid) divided by the length of the hypotenuse (in this case, the length from the bottom to the top of the pyramid).
Using the sine ratio, we have:
sin(angle) = opposite/hypotenuse
sin(52°) = height/hypotenuse
Rearranging the equation, we have:
hypotenuse = height/sin(angle)
Substituting the given values, we have:
hypotenuse = 481 feet / sin(52°)
Using a calculator to find the value of sin(52°) to four decimal places, we have:
sin(52°) = 0.7880
Substituting this value back into the equation, we have:
hypotenuse ≈ 481 feet / 0.7880 ≈ 610.4 feet
Therefore, the length from the bottom to the top of the pyramid is approximately 610 feet to the nearest foot.
Thus, the correct option is:
610 feet